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72847693366056 = 23327144539074139
BaseRepresentation
bin10000100100000100101100…
…111000101100001100101000
3100112221011122000002101110100
4100210010230320230030220
534022014034000203211
6414533433543145400
721226033515614430
oct2044045470541450
9315834560071410
1072847693366056
1121236595851504
128206455145260
13318567b12b8ab
1413dbbc08d32c0
15864e07dc8156
hex42412ce2c328

72847693366056 has 48 divisors (see below), whose sum is σ = 225480955658400. Its totient is φ = 20813626675872.

The previous prime is 72847693366037. The next prime is 72847693366069. The reversal of 72847693366056 is 65066339674827.

72847693366056 is a `hidden beast` number, since 7 + 2 + 8 + 4 + 7 + 6 + 9 + 3 + 3 + 6 + 605 + 6 = 666.

It is a super-2 number, since 2×728476933660562 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 72269536566 + ... + 72269537573.

It is an arithmetic number, because the mean of its divisors is an integer number (4697519909550).

Almost surely, 272847693366056 is an apocalyptic number.

It is an amenable number.

72847693366056 is an abundant number, since it is smaller than the sum of its proper divisors (152633262292344).

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

72847693366056 is a wasteful number, since it uses less digits than its factorization.

72847693366056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144539074158 (or 144539074151 counting only the distinct ones).

The product of its (nonzero) digits is 1646023680, while the sum is 72.

The spelling of 72847693366056 in words is "seventy-two trillion, eight hundred forty-seven billion, six hundred ninety-three million, three hundred sixty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 144539074139 289078148278 433617222417 578156296556 867234444834 1011773518973 1156312593112 1300851667251 1734468889668 2023547037946 2601703334502 3035320556919 3468937779336 4047094075892 5203406669004 6070641113838 8094188151784 9105961670757 10406813338008 12141282227676 18211923341514 24282564455352 36423846683028 72847693366056