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29685982032 = 2433721402399
BaseRepresentation
bin11011101001011011…
…000010001101010000
32211121212102010201000
4123221123002031100
5441244102411112
621345413342000
72100434453400
oct335133021520
984555363630
1029685982032
1111653a65753
125905937900
132a512c9955
141618866800
15b8b29b7dc
hex6e96c2350

29685982032 has 120 divisors (see below), whose sum is σ = 99121632000. Its totient is φ = 8481703104.

The previous prime is 29685982019. The next prime is 29685982049. The reversal of 29685982032 is 23028958692.

29685982032 is a `hidden beast` number, since 29 + 6 + 8 + 598 + 20 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 29685982032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 680032 + ... + 722367.

It is an arithmetic number, because the mean of its divisors is an integer number (826013600).

Almost surely, 229685982032 is an apocalyptic number.

It is an amenable number.

29685982032 is an abundant number, since it is smaller than the sum of its proper divisors (69435649968).

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

29685982032 is a wasteful number, since it uses less digits than its factorization.

29685982032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402430 (or 1402411 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 29685982032 in words is "twenty-nine billion, six hundred eighty-five million, nine hundred eighty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 3024 3528 5292 7056 10584 21168 1402399 2804798 4207197 5609596 8414394 9816793 11219192 12621591 16828788 19633586 22438384 25243182 29450379 33657576 37864773 39267172 50486364 58900758 67315152 68717551 75729546 78534344 88351137 100972728 117801516 137435102 151459092 157068688 176702274 201945456 206152653 235603032 265053411 274870204 302918184 353404548 412305306 471206064 530106822 549740408 605836368 618457959 706809096 824610612 1060213644 1099480816 1236915918 1413618192 1649221224 1855373877 2120427288 2473831836 3298442448 3710747754 4240854576 4947663672 7421495508 9895327344 14842991016 29685982032