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29692990656 = 2632771103723
BaseRepresentation
bin11011101001110101…
…110001010011000000
32211122100121012201200
4123221311301103000
5441302401200111
621350223501200
72100551153610
oct335165612300
984570535650
1029692990656
1111657a123aa
125908157800
132a528b1a74
14161976ca40
15b8bbd3256
hex6e9d714c0

29692990656 has 168 divisors, whose sum is σ = 98639034624. Its totient is φ = 8364142080.

The previous prime is 29692990637. The next prime is 29692990661. The reversal of 29692990656 is 65609929692.

29692990656 is a `hidden beast` number, since 296 + 9 + 299 + 0 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 29692990593 and 29692990602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234411 + ... + 338133.

Almost surely, 229692990656 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 29692990656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49319517312).

29692990656 is an abundant number, since it is smaller than the sum of its proper divisors (68946043968).

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

29692990656 is a wasteful number, since it uses less digits than its factorization.

29692990656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103819 (or 103806 counting only the distinct ones).

The product of its (nonzero) digits is 28343520, while the sum is 63.

The spelling of 29692990656 in words is "twenty-nine billion, six hundred ninety-two million, nine hundred ninety thousand, six hundred fifty-six".