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116253704160 = 25325117339249
BaseRepresentation
bin110110001000101000…
…0101011111111100000
3102010001220212001201200
41230101100223333200
53401041422013120
6125223424201200
711253606116046
oct1542120537740
9363056761650
10116253704160
1145337204660
121a645169200
13ac69004379
1458ab994396
153056146e90
hex1b1142bfe0

116253704160 has 144 divisors (see below), whose sum is σ = 432780894000. Its totient is φ = 28182712320.

The previous prime is 116253704107. The next prime is 116253704173. The reversal of 116253704160 is 61407352611.

116253704160 is a `hidden beast` number, since 1 + 1 + 62 + 537 + 0 + 4 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3653785 + ... + 3685464.

It is an arithmetic number, because the mean of its divisors is an integer number (3005422875).

Almost surely, 2116253704160 is an apocalyptic number.

116253704160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116253704160 is an abundant number, since it is smaller than the sum of its proper divisors (316527189840).

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

116253704160 is a wasteful number, since it uses less digits than its factorization.

116253704160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7339281 (or 7339270 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 116253704160 in words is "one hundred sixteen billion, two hundred fifty-three million, seven hundred four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 15840 7339249 14678498 22017747 29356996 36696245 44035494 58713992 66053241 73392490 80731739 88070988 110088735 117427984 132106482 146784980 161463478 176141976 220177470 234855968 242195217 264212964 293569960 322926956 330266205 352283952 403658695 440354940 484390434 528425928 587139920 645853912 660532410 704567904 726585651 807317390 880709880 968780868 1056851856 1174279840 1210976085 1291707824 1321064820 1453171302 1614634780 1761419760 1937561736 2113703712 2421952170 2583415648 2642129640 2906342604 3229269560 3522839520 3632928255 3875123472 4843904340 5284259280 5812685208 6458539120 7265856510 7750246944 9687808680 10568518560 11625370416 12917078240 14531713020 19375617360 23250740832 29063426040 38751234720 58126852080 116253704160