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29106910768 = 24131937672971
BaseRepresentation
bin11011000110111010…
…000011011000110000
32210010111210021021011
4123012322003120300
5434102332121033
621212130040304
72050203442105
oct330672033060
983114707234
1029106910768
1111387101961
125783a19094
13298b34b130
1415a19aaaac
15b55514ccd
hex6c6e83630

29106910768 has 160 divisors (see below), whose sum is σ = 66659344640. Its totient is φ = 12194012160.

The previous prime is 29106910751. The next prime is 29106910831. The reversal of 29106910768 is 86701960192.

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, 9795523 + ... + 9798493.

It is an arithmetic number, because the mean of its divisors is an integer number (416620904).

Almost surely, 229106910768 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 29106910768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33329672320).

29106910768 is an abundant number, since it is smaller than the sum of its proper divisors (37552433872).

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

29106910768 is a wasteful number, since it uses less digits than its factorization.

29106910768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3115 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 49.

The spelling of 29106910768 in words is "twenty-nine billion, one hundred six million, nine hundred ten thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 19 26 37 38 52 67 74 76 104 134 148 152 208 247 268 296 304 481 494 536 592 703 871 962 988 1072 1273 1406 1742 1924 1976 2479 2546 2812 2971 3484 3848 3952 4958 5092 5624 5942 6968 7696 9139 9916 10184 11248 11884 13936 16549 18278 19832 20368 23768 32227 33098 36556 38623 39664 47101 47536 56449 64454 66196 73112 77246 94202 109927 112898 128908 132392 146224 154492 188404 199057 219854 225796 257816 264784 308984 376808 398114 439708 451592 515632 612313 617968 733837 753616 796228 879416 903184 1224626 1429051 1467674 1592456 1758832 2088613 2449252 2587741 2858102 2935348 3184912 3782083 4177226 4898504 5175482 5716204 5870696 7365109 7564166 8354452 9797008 10350964 11432408 11741392 14730218 15128332 16708904 20701928 22864816 27151969 29460436 30256664 33417808 41403856 49167079 54303938 58920872 60513328 95746417 98334158 108607876 117841744 139937071 191492834 196668316 217215752 279874142 382985668 393336632 434431504 559748284 765971336 786673264 1119496568 1531942672 1819181923 2238993136 3638363846 7276727692 14553455384 29106910768