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116340271776 = 25321512675227
BaseRepresentation
bin110110001011001101…
…0111010101010100000
3102010021221202011011200
41230112122322222200
53401231102144101
6125240155441200
711256006664551
oct1542632725240
9363257664150
10116340271776
1145381061143
121a66a156200
13ac80c23c01
1458b928a328
15305da46986
hex1b166baaa0

116340271776 has 72 divisors (see below), whose sum is σ = 333033783264. Its totient is φ = 38523254400.

The previous prime is 116340271759. The next prime is 116340271823. The reversal of 116340271776 is 677172043611.

116340271776 is a `hidden beast` number, since 1 + 1 + 634 + 0 + 2 + 7 + 1 + 7 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1294126 + ... + 1381101.

It is an arithmetic number, because the mean of its divisors is an integer number (4625469212).

Almost surely, 2116340271776 is an apocalyptic number.

116340271776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

116340271776 is an abundant number, since it is smaller than the sum of its proper divisors (216693511488).

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

116340271776 is a wasteful number, since it uses less digits than its factorization.

116340271776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2675394 (or 2675383 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 116340271776 in words is "one hundred sixteen billion, three hundred forty million, two hundred seventy-one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 151 288 302 453 604 906 1208 1359 1812 2416 2718 3624 4832 5436 7248 10872 14496 21744 43488 2675227 5350454 8025681 10700908 16051362 21401816 24077043 32102724 42803632 48154086 64205448 85607264 96308172 128410896 192616344 256821792 385232688 403959277 770465376 807918554 1211877831 1615837108 2423755662 3231674216 3635633493 4847511324 6463348432 7271266986 9695022648 12926696864 14542533972 19390045296 29085067944 38780090592 58170135888 116340271776