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612053444350216 = 231140131907990841
BaseRepresentation
bin1000101100101010001100110…
…0001000100101000100001000
32222021002201220212221120101001
42023022203030020211010020
51120210340423223201331
610005421245400304344
7242630254630616611
oct21312431410450410
92867081825846331
10612053444350216
11168023454154120
12587900841720b4
132036951371c97b
14ab1d78abb0c08
154ab5dac04b561
hex22ca8cc225108

612053444350216 has 64 divisors (see below), whose sum is σ = 1252318887907200. Its totient is φ = 278119145049600.

The previous prime is 612053444350163. The next prime is 612053444350217.

612053444350216 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×6120534443502164 (a number of 60 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (612053444350217) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6737588956 + ... + 6737679796.

It is an arithmetic number, because the mean of its divisors is an integer number (19567482623550).

Almost surely, 2612053444350216 is an apocalyptic number.

It is an amenable number.

612053444350216 is an abundant number, since it is smaller than the sum of its proper divisors (640265443556984).

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

612053444350216 is a wasteful number, since it uses less digits than its factorization.

612053444350216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113950 (or 113946 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 46.

The spelling of 612053444350216 in words is "six hundred twelve trillion, fifty-three billion, four hundred forty-four million, three hundred fifty thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 22 44 88 4013 8026 16052 19079 32104 38158 44143 76316 88286 90841 152632 176572 181682 209869 353144 363364 419738 726728 839476 999251 1678952 1998502 3997004 7994008 76564027 153128054 306256108 364544933 612512216 729089866 842204297 1458179732 1684408594 1733155439 2916359464 3368817188 3466310878 4009994263 6737634376 6932621756 8019988526 13865243512 16039977052 19064709829 32079954104 38129419658 76258839316 152517678632 6955152776707 13910305553414 27820611106828 55641222213656 76506680543777 153013361087554 306026722175108 612053444350216