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165332356896 = 2537534642081
BaseRepresentation
bin1001100111111010010…
…0111000111100100000
3120210202021222221111210
42121332210320330200
510202100040410041
6203541434110120
714642042563140
oct2317644707440
9523667887453
10165332356896
1164131894893
122806157b340
131278ac14ca5
148005bac920
154479b95016
hex267e938f20

165332356896 has 96 divisors (see below), whose sum is σ = 505355614848. Its totient is φ = 46346526720.

The previous prime is 165332356873. The next prime is 165332356913. The reversal of 165332356896 is 698653233561.

165332356896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 2285425 + ... + 2356656.

It is an arithmetic number, because the mean of its divisors is an integer number (5264120988).

Almost surely, 2165332356896 is an apocalyptic number.

165332356896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

165332356896 is an abundant number, since it is smaller than the sum of its proper divisors (340023257952).

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

165332356896 is a wasteful number, since it uses less digits than its factorization.

165332356896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4642154 (or 4642146 counting only the distinct ones).

The product of its digits is 20995200, while the sum is 57.

The spelling of 165332356896 in words is "one hundred sixty-five billion, three hundred thirty-two million, three hundred fifty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 84 96 106 112 159 168 212 224 318 336 371 424 636 672 742 848 1113 1272 1484 1696 2226 2544 2968 4452 5088 5936 8904 11872 17808 35616 4642081 9284162 13926243 18568324 27852486 32494567 37136648 55704972 64989134 74273296 97483701 111409944 129978268 148546592 194967402 222819888 246030293 259956536 389934804 445639776 492060586 519913072 738090879 779869608 984121172 1039826144 1476181758 1559739216 1722212051 1968242344 2952363516 3119478432 3444424102 3936484688 5166636153 5904727032 6888848204 7872969376 10333272306 11809454064 13777696408 20666544612 23618908128 27555392816 41333089224 55110785632 82666178448 165332356896