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20137047029700 = 22352237141104403
BaseRepresentation
bin1001001010000100001011…
…00010001111011111000100
32122022002020102121221200120
410211002011202033133010
510114411133014422300
6110454455351341540
74145565540402216
oct445020542173704
978262212557616
1020137047029700
11646408a092957
1223128403818b0
13b30bb9149913
144d88d16065b6
1524dc267033a0
hex12508588f7c4

20137047029700 has 144 divisors (see below), whose sum is σ = 61652659977216. Its totient is φ = 5064062326400.

The previous prime is 20137047029683. The next prime is 20137047029731. The reversal of 20137047029700 is 792074073102.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20062302 + ... + 21042101.

It is an arithmetic number, because the mean of its divisors is an integer number (428143472064).

Almost surely, 220137047029700 is an apocalyptic number.

20137047029700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20137047029700 is an abundant number, since it is smaller than the sum of its proper divisors (41515612947516).

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

20137047029700 is a wasteful number, since it uses less digits than its factorization.

20137047029700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41104514 (or 41104507 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The spelling of 20137047029700 in words is "twenty trillion, one hundred thirty-seven billion, forty-seven million, twenty-nine thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 71 75 92 100 115 138 142 150 213 230 276 284 300 345 355 426 460 575 690 710 852 1065 1150 1380 1420 1633 1725 1775 2130 2300 3266 3450 3550 4260 4899 5325 6532 6900 7100 8165 9798 10650 16330 19596 21300 24495 32660 40825 48990 81650 97980 122475 163300 244950 489900 41104403 82208806 123313209 164417612 205522015 246626418 411044030 493252836 616566045 822088060 945401269 1027610075 1233132090 1890802538 2055220150 2466264180 2836203807 2918412613 3082830225 3781605076 4110440300 4727006345 5672407614 5836825226 6165660450 8755237839 9454012690 11344815228 11673650452 12331320900 14181019035 14592063065 17510475678 18908025380 23635031725 28362038070 29184126130 35020951356 43776189195 47270063450 56724076140 58368252260 67123490099 70905095175 72960315325 87552378390 94540126900 134246980198 141810190350 145920630650 175104756780 201370470297 218880945975 268493960396 283620380700 291841261300 335617450495 402740940594 437761891950 671234900990 805481881188 875523783900 1006852351485 1342469801980 1678087252475 2013704702970 3356174504950 4027409405940 5034261757425 6712349009900 10068523514850 20137047029700