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29810105988 = 223131276832203
BaseRepresentation
bin11011110000110100…
…100001111010000100
32211221111222021202120
4123300310201322010
5442022341342423
621410010005540
72103502501665
oct336064417204
984844867676
1029810105988
1111708033933
12593b4168b0
132a70c38990
14162b13736c
15b97118ee3
hex6f0d21e84

29810105988 has 96 divisors (see below), whose sum is σ = 75642126336. Its totient is φ = 9082668672.

The previous prime is 29810105959. The next prime is 29810106103. The reversal of 29810105988 is 88950101892.

It is a super-2 number, since 2×298101059882 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 29810105988.

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, 13530495 + ... + 13532697.

It is an arithmetic number, because the mean of its divisors is an integer number (787938816).

Almost surely, 229810105988 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 29810105988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37821063168).

29810105988 is an abundant number, since it is smaller than the sum of its proper divisors (45832020348).

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

29810105988 is a wasteful number, since it uses less digits than its factorization.

29810105988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3033 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 51.

The spelling of 29810105988 in words is "twenty-nine billion, eight hundred ten million, one hundred five thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 127 156 254 381 508 683 762 1366 1524 1651 2049 2203 2732 3302 4098 4406 4953 6604 6609 8196 8812 8879 9906 13218 17758 19812 26436 26637 28639 35516 53274 57278 85917 86741 106548 114556 171834 173482 260223 279781 343668 346964 520446 559562 839343 1040892 1119124 1127633 1504649 1678686 2255266 3009298 3357372 3382899 3637153 4510532 4513947 6018596 6765798 7274306 9027894 10911459 13531596 14548612 18055788 19560437 21822918 39120874 43645836 58681311 78241748 117362622 191090423 234725244 382180846 573271269 764361692 1146542538 2293085076 2484175499 4968350998 7452526497 9936701996 14905052994 29810105988