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252501426424 = 231323315875801
BaseRepresentation
bin1110101100101001000…
…0100000000011111000
3220010202020222111002101
43223022100200003320
513114110331121144
6311555245513144
724146135466112
oct3531220400370
9803666874071
10252501426424
11980a3521a15
1240b2a2727b4
131aa7039a680
14c314b143b2
15687c7276d4
hex3aca4200f8

252501426424 has 128 divisors (see below), whose sum is σ = 550218977280. Its totient is φ = 107673984000.

The previous prime is 252501426403. The next prime is 252501426503. The reversal of 252501426424 is 424624105252.

It is a super-3 number, since 3×2525014264243 (a number of 35 digits) contains 333 as substring.

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, 43524324 + ... + 43530124.

It is an arithmetic number, because the mean of its divisors is an integer number (4298585760).

Almost surely, 2252501426424 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 252501426424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275109488640).

252501426424 is an abundant number, since it is smaller than the sum of its proper divisors (297717550856).

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

252501426424 is a wasteful number, since it uses less digits than its factorization.

252501426424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6461 (or 6457 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 37.

The spelling of 252501426424 in words is "two hundred fifty-two billion, five hundred one million, four hundred twenty-six thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 23 26 31 46 52 62 92 104 124 184 248 299 403 587 598 713 806 1174 1196 1426 1612 2348 2392 2852 3224 4696 5704 5801 7631 9269 11602 13501 15262 18197 18538 23204 27002 30524 36394 37076 46408 54004 61048 72788 74152 75413 108008 133423 145576 150826 175513 179831 236561 266846 301652 351026 359662 418531 473122 533692 603304 702052 719324 837062 946244 1067384 1404104 1438648 1674124 1734499 1892488 2337803 3348248 3405187 3468998 4136113 4675606 5440903 6810374 6937996 8272226 9351212 10881806 13620748 13875992 16544452 18702424 21763612 27241496 33088904 43527224 44267431 53769469 78319301 88534862 105560797 107538938 156638602 177069724 211121594 215077876 313277204 354139448 422243188 430155752 626554408 844486376 1018150913 1372290361 2036301826 2427898331 2744580722 4072603652 4855796662 5489161444 8145207304 9711593324 10978322888 19423186648 31562678303 63125356606 126250713212 252501426424