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29840960919756 = 22372417316956209
BaseRepresentation
bin1101100100011111000111…
…11000000001100011001100
310220122202201212121101120210
412302033203320001203030
512402403241443413011
6143244425335442420
76166636554456300
oct662174370014314
9126582655541523
1029840960919756
11956553153a158
12341b465526410
131385cb52a87cc
1475244b32dd00
1536b37289d6a6
hex1b23e3e018cc

29840960919756 has 144 divisors (see below), whose sum is σ = 84109041485280. Its totient is φ = 8204091678720.

The previous prime is 29840960919733. The next prime is 29840960919761. The reversal of 29840960919756 is 65791906904892.

It is a super-2 number, since 2×298409609197562 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6718221 + ... + 10237988.

It is an arithmetic number, because the mean of its divisors is an integer number (584090565870).

Almost surely, 229840960919756 is an apocalyptic number.

It is an amenable number.

29840960919756 is an abundant number, since it is smaller than the sum of its proper divisors (54268080565524).

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

29840960919756 is a wasteful number, since it uses less digits than its factorization.

29840960919756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16956344 (or 16956335 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 75.

The spelling of 29840960919756 in words is "twenty-nine trillion, eight hundred forty billion, nine hundred sixty million, nine hundred nineteen thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 49 73 82 84 98 123 146 147 164 196 219 246 287 292 294 438 492 511 574 588 861 876 1022 1148 1533 1722 2009 2044 2993 3066 3444 3577 4018 5986 6027 6132 7154 8036 8979 10731 11972 12054 14308 17958 20951 21462 24108 35916 41902 42924 62853 83804 125706 146657 251412 293314 439971 586628 879942 1759884 16956209 33912418 50868627 67824836 101737254 118693463 203474508 237386926 356080389 474773852 695204569 712160778 830854241 1237803257 1390409138 1424321556 1661708482 2085613707 2475606514 2492562723 2780818276 3323416964 3713409771 4171227414 4866431983 4951213028 4985125446 7426819542 8342454828 8664622799 9732863966 9970250892 14599295949 14853639084 17329245598 19465727932 25993868397 29198591898 34065023881 34658491196 50749933537 51987736794 58397183796 60652359593 68130047762 101499867074 102195071643 103975473588 121304719186 136260095524 152249800611 181957078779 202999734148 204390143286 242609438372 304499601222 355249534759 363914157558 408780286572 608999202444 710499069518 727828315116 1065748604277 1420998139036 2131497208554 2486746743313 4262994417108 4973493486626 7460240229939 9946986973252 14920480459878 29840960919756