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16400877470652 = 223291014211108369
BaseRepresentation
bin1110111010101010000001…
…1110011100001110111100
32011001220112100110022011110
43232222200132130032330
54122202444113030102
654514243055322020
73311632014213123
oct356524036341674
964056470408143
1016400877470652
115253633842524
121a0a724820310
1391c79986254c
14409b41854aba
151d695785086c
hexeeaa079c3bc

16400877470652 has 96 divisors (see below), whose sum is σ = 40075289755200. Its totient is φ = 5213763072000.

The previous prime is 16400877470629. The next prime is 16400877470693. The reversal of 16400877470652 is 25607477800461.

It is a junction number, because it is equal to n+sod(n) for n = 16400877470592 and 16400877470601.

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, 14243124 + ... + 15351492.

It is an arithmetic number, because the mean of its divisors is an integer number (417450934950).

Almost surely, 216400877470652 is an apocalyptic number.

16400877470652 is a gapful number since it is divisible by the number (12) 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 16400877470652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20037644877600).

16400877470652 is an abundant number, since it is smaller than the sum of its proper divisors (23674412284548).

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

16400877470652 is a wasteful number, since it uses less digits than its factorization.

16400877470652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108927 (or 1108925 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 57.

The spelling of 16400877470652 in words is "sixteen trillion, four hundred billion, eight hundred seventy-seven million, four hundred seventy thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 29 58 87 101 116 174 202 303 348 404 421 606 842 1212 1263 1684 2526 2929 5052 5858 8787 11716 12209 17574 24418 35148 36627 42521 48836 73254 85042 127563 146508 170084 255126 510252 1108369 1233109 2216738 2466218 3325107 3699327 4433476 4932436 6650214 7398654 13300428 14797308 32142701 64285402 96428103 111945269 128570804 192856206 223890538 335835807 385712412 447781076 466623349 671671614 933246698 1343343228 1399870047 1866493396 2799740094 3246412801 5599480188 6492825602 9739238403 12985651204 13532077121 19478476806 27064154242 38956953612 40596231363 47128958249 54128308484 81192462726 94257916498 141386874747 162384925452 188515832996 282773749494 565547498988 1366739789221 2733479578442 4100219367663 5466959156884 8200438735326 16400877470652