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29724122868 = 22311285723887
BaseRepresentation
bin11011101011101100…
…100001111011110100
32211201112011220002120
4123223230201323310
5441333333412433
621353255035540
72101406606226
oct335354417364
984645156076
1029724122868
1111673546500
12591666bbb0
132a591921ab
14161d954416
15b8e7d27b3
hex6ebb21ef4

29724122868 has 72 divisors (see below), whose sum is σ = 76326746496. Its totient is φ = 8996423040.

The previous prime is 29724122867. The next prime is 29724122881. The reversal of 29724122868 is 86822142792.

It is a self number, because there is not a number n which added to its sum of digits gives 29724122868.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29724122867) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1232421 + ... + 1256307.

Almost surely, 229724122868 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 29724122868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38163373248).

29724122868 is an abundant number, since it is smaller than the sum of its proper divisors (46602623628).

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

29724122868 is a wasteful number, since it uses less digits than its factorization.

29724122868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24773 (or 24760 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 51.

The spelling of 29724122868 in words is "twenty-nine billion, seven hundred twenty-four million, one hundred twenty-two thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 857 1452 1714 2571 3428 5142 9427 10284 18854 23887 28281 37708 47774 56562 71661 95548 103697 113124 143322 207394 262757 286644 311091 414788 525514 622182 788271 1051028 1244364 1576542 2890327 3153084 5780654 8670981 11561308 17341962 20471159 34683924 40942318 61413477 81884636 122826954 225182749 245653908 450365498 675548247 900730996 1351096494 2477010239 2702192988 4954020478 7431030717 9908040956 14862061434 29724122868