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5014967712 = 253316132749
BaseRepresentation
bin1001010101110101…
…00101010110100000
3110221111112202101220
410222322211112200
540232312431322
62145344055040
7235163344056
oct45272452640
913844482356
105014967712
112143900517
12b7b604480
1361bc9c621
1435807a1d6
151e541155c
hex12aea55a0

5014967712 has 96 divisors (see below), whose sum is σ = 13616064000. Its totient is φ = 1614504960.

The previous prime is 5014967707. The next prime is 5014967719. The reversal of 5014967712 is 2177694105.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (5014967719) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1822914 + ... + 1825662.

It is an arithmetic number, because the mean of its divisors is an integer number (141834000).

Almost surely, 25014967712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5014967712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6808032000).

5014967712 is an abundant number, since it is smaller than the sum of its proper divisors (8601096288).

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

5014967712 is a wasteful number, since it uses less digits than its factorization.

5014967712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 5014967712 is about 70816.4367361137. The cubic root of 5014967712 is about 1711.6805420468.

The spelling of 5014967712 in words is "five billion, fourteen million, nine hundred sixty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 613 744 992 1226 1488 1839 2452 2749 2976 3678 4904 5498 7356 8247 9808 10996 14712 16494 19003 19616 21992 29424 32988 38006 43984 57009 58848 65976 76012 85219 87968 114018 131952 152024 170438 228036 255657 263904 304048 340876 456072 511314 608096 681752 912144 1022628 1363504 1685137 1824288 2045256 2727008 3370274 4090512 5055411 6740548 8181024 10110822 13481096 20221644 26962192 40443288 52239247 53924384 80886576 104478494 156717741 161773152 208956988 313435482 417913976 626870964 835827952 1253741928 1671655904 2507483856 5014967712