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6996514992 = 2432331892297
BaseRepresentation
bin1101000010000011…
…00101100010110000
3200001121011210020220
412201001211202300
5103312101434432
63114131333040
7335244252615
oct64101454260
920047153226
106996514992
112a703942a5
121433151180
138766858cc
144a52d050c
152ae37b72c
hex1a10658b0

6996514992 has 160 divisors (see below), whose sum is σ = 19695882240. Its totient is φ = 2133626880.

The previous prime is 6996514949. The next prime is 6996514997. The reversal of 6996514992 is 2994156996.

It is not an unprimeable number, because it can be changed into a prime (6996514997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3044788 + ... + 3047084.

It is an arithmetic number, because the mean of its divisors is an integer number (123099264).

Almost surely, 26996514992 is an apocalyptic number.

6996514992 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6996514992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9847941120).

6996514992 is an abundant number, since it is smaller than the sum of its proper divisors (12699367248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6996514992 is a wasteful number, since it uses less digits than its factorization.

6996514992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2451 (or 2445 counting only the distinct ones).

The product of its digits is 9447840, while the sum is 60.

The square root of 6996514992 is about 83645.1731542233. The cubic root of 6996514992 is about 1912.6136738620.

The spelling of 6996514992 in words is "six billion, nine hundred ninety-six million, five hundred fourteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 46 48 62 69 89 92 93 124 138 178 184 186 248 267 276 356 368 372 496 534 552 712 713 744 1068 1104 1424 1426 1488 2047 2136 2139 2297 2759 2852 4094 4272 4278 4594 5518 5704 6141 6891 8188 8277 8556 9188 11036 11408 12282 13782 16376 16554 17112 18376 22072 24564 27564 32752 33108 34224 36752 44144 49128 52831 55128 63457 66216 71207 98256 105662 110256 126914 132432 142414 158493 190371 204433 211324 213621 253828 284828 316986 380742 408866 422648 427242 507656 569656 613299 633972 761484 817732 845296 854484 1015312 1139312 1226598 1267944 1522968 1635464 1637761 1708968 2453196 2535888 3045936 3270928 3275522 3417936 4701959 4906392 4913283 6337423 6551044 9403918 9812784 9826566 12674846 13102088 14105877 18807836 19012269 19653132 25349692 26204176 28211754 37615672 38024538 39306264 50699384 56423508 75231344 76049076 78612528 101398768 112847016 145760729 152098152 225694032 291521458 304196304 437282187 583042916 874564374 1166085832 1749128748 2332171664 3498257496 6996514992