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16253929432 = 231317231972029
BaseRepresentation
bin11110010001100111…
…10100011111011000
31112221202122011111101
433020303310133120
5231242001220212
611244510041144
71113534056236
oct171063643730
945852564441
1016253929432
116990a12834
1231974a91b4
1316c0573330
14b02991956
15651e54157
hex3c8cf47d8

16253929432 has 128 divisors (see below), whose sum is σ = 36463996800. Its totient is φ = 6715957248.

The previous prime is 16253929429. The next prime is 16253929459. The reversal of 16253929432 is 23492935261.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8009794 + ... + 8011822.

It is an arithmetic number, because the mean of its divisors is an integer number (284874975).

Almost surely, 216253929432 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 16253929432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18231998400).

16253929432 is an abundant number, since it is smaller than the sum of its proper divisors (20210067368).

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

16253929432 is a wasteful number, since it uses less digits than its factorization.

16253929432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285 (or 2281 counting only the distinct ones).

The product of its digits is 699840, while the sum is 46.

The spelling of 16253929432 in words is "sixteen billion, two hundred fifty-three million, nine hundred twenty-nine thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 17 23 26 34 46 52 68 92 104 136 184 197 221 299 391 394 442 598 782 788 884 1196 1564 1576 1768 2029 2392 2561 3128 3349 4058 4531 5083 5122 6698 8116 9062 10166 10244 13396 16232 18124 20332 20488 26377 26792 34493 36248 40664 43537 46667 52754 58903 68986 77027 87074 93334 105508 117806 137972 154054 174148 186668 211016 235612 275944 308108 348296 373336 399713 448409 471224 606671 616216 793339 799426 896818 1001351 1213342 1586678 1598852 1793636 2002702 2426684 3173356 3197704 3587272 4005404 4853368 5196269 6346712 6795121 8010808 9193399 10313407 10392538 13590242 18386798 20626814 20785076 27180484 36773596 41253628 41570152 54360968 73547192 82507256 88336573 119514187 156287783 176673146 239028374 312575566 353346292 478056748 625151132 706692584 956113496 1250302264 2031741179 4063482358 8126964716 16253929432