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117212809920 = 26351091120153
BaseRepresentation
bin110110100101001101…
…1011000101011000000
3102012112202120200111020
41231022123120223000
53410022434404140
6125502525145440
711316433305543
oct1551233305300
9365482520436
10117212809920
1145789636a48
121a8723bb280
13b08c92397b
14595d0d885a
1530b044b6d0
hex1b4a6d8ac0

117212809920 has 112 divisors (see below), whose sum is σ = 375565233120. Its totient is φ = 30969962496.

The previous prime is 117212809919. The next prime is 117212809927. The reversal of 117212809920 is 29908212711.

117212809920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (117212809927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 455437 + ... + 664716.

It is an arithmetic number, because the mean of its divisors is an integer number (3353261010).

Almost surely, 2117212809920 is an apocalyptic number.

117212809920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117212809920 is an abundant number, since it is smaller than the sum of its proper divisors (258352423200).

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

117212809920 is a wasteful number, since it uses less digits than its factorization.

117212809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120282 (or 1120272 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 42.

The spelling of 117212809920 in words is "one hundred seventeen billion, two hundred twelve million, eight hundred nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 109 120 160 192 218 240 320 327 436 480 545 654 872 960 1090 1308 1635 1744 2180 2616 3270 3488 4360 5232 6540 6976 8720 10464 13080 17440 20928 26160 34880 52320 104640 1120153 2240306 3360459 4480612 5600765 6720918 8961224 11201530 13441836 16802295 17922448 22403060 26883672 33604590 35844896 44806120 53767344 67209180 71689792 89612240 107534688 122096677 134418360 179224480 215069376 244193354 268836720 358448960 366290031 488386708 537673440 610483385 732580062 976773416 1075346880 1220966770 1465160124 1831450155 1953546832 2441933540 2930320248 3662900310 3907093664 4883867080 5860640496 7325800620 7814187328 9767734160 11721280992 14651601240 19535468320 23442561984 29303202480 39070936640 58606404960 117212809920