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155964230782096 = 241122838312
BaseRepresentation
bin100011011101100101000000…
…100100101100110010010000
3202110020000221101220210210111
4203131211000210230302100
5130420304221040011341
61311412551204411104
744565021014011462
oct4335450044546220
9673200841823714
10155964230782096
114577107132a900
12155aaab53a6a94
13690449650c0c9
142a729cd8a8132
151306ec3040681
hex8dd94092cc90

155964230782096 has 45 divisors (see below), whose sum is σ = 332150200980339. Its totient is φ = 70892582402400.

The previous prime is 155964230782091. The next prime is 155964230782123. The reversal of 155964230782096 is 690287032469551.

The square root of 155964230782096 is 12488564.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (155964230782091) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 549354901 + ... + 549638731.

It is a 1-persistent number, because it is pandigital, but 2⋅155964230782096 = 311928461564192 is not.

Almost surely, 2155964230782096 is an apocalyptic number.

155964230782096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

155964230782096 is the 12488564-th square number.

It is an amenable number.

155964230782096 is an abundant number, since it is smaller than the sum of its proper divisors (176185970198243).

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

155964230782096 is an frugal number, since it uses more digits than its factorization.

155964230782096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567692 (or 283844 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 67.

The spelling of 155964230782096 in words is "one hundred fifty-five trillion, nine hundred sixty-four billion, two hundred thirty million, seven hundred eighty-two thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 283831 567662 1135324 2270648 3122141 4541296 6244282 12488564 24977128 34343551 49954256 68687102 137374204 274748408 549496816 80560036561 161120073122 322240146244 644480292488 886160402171 1288960584976 1772320804342 3544641608684 7089283217368 9747764423881 14178566434736 19495528847762 38991057695524 77982115391048 155964230782096