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2427913656 = 233373743399
BaseRepresentation
bin1001000010110111…
…0000010110111000
320021012112210102000
42100231300112320
514433021214111
61040530341000
7114110632320
oct22055602670
96235483360
102427913656
111036548513
1257912a760
132c90100cc
14190648280
15e323bc56
hex90b705b8

2427913656 has 128 divisors (see below), whose sum is σ = 7916160000. Its totient is φ = 674925696.

The previous prime is 2427913627. The next prime is 2427913699. The reversal of 2427913656 is 6563197242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34245 + ... + 77643.

It is an arithmetic number, because the mean of its divisors is an integer number (61845000).

Almost surely, 22427913656 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 2427913656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3958080000).

2427913656 is an abundant number, since it is smaller than the sum of its proper divisors (5488246344).

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

2427913656 is a wasteful number, since it uses less digits than its factorization.

2427913656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43458 (or 43448 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 2427913656 is about 49273.8638225175. The cubic root of 2427913656 is about 1344.0365503453.

The spelling of 2427913656 in words is "two billion, four hundred twenty-seven million, nine hundred thirteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 37 42 54 56 63 72 74 84 108 111 126 148 168 189 216 222 252 259 296 333 378 444 504 518 666 756 777 888 999 1036 1332 1512 1554 1998 2072 2331 2664 3108 3996 4662 6216 6993 7992 9324 13986 18648 27972 43399 55944 86798 130197 173596 260394 303793 347192 390591 520788 607586 781182 911379 1041576 1171773 1215172 1562364 1605763 1822758 2343546 2430344 2734137 3124728 3211526 3645516 4687092 4817289 5468274 6423052 7291032 8202411 9374184 9634578 10936548 11240341 12846104 14451867 16404822 19269156 21873096 22480682 28903734 32809644 33721023 38538312 43355601 44961364 57807468 65619288 67442046 86711202 89922728 101163069 115614936 134884092 173422404 202326138 269768184 303489207 346844808 404652276 606978414 809304552 1213956828 2427913656