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54625663426656 = 253781288189623
BaseRepresentation
bin11000110101110100001110…
…10000111010000001100000
321011102011101101222011122210
430122322013100322001200
524124441324314123111
6312102403334002120
714335400602001160
oct1432720720720140
9234364341864583
1054625663426656
1116450682a09573
1261629a01a6340
132463240c8786a
14d6bc7930c5a0
1564ae13a060a6
hex31ae8743a060

54625663426656 has 48 divisors (see below), whose sum is σ = 163876990281984. Its totient is φ = 15607332407424.

The previous prime is 54625663426627. The next prime is 54625663426657. The reversal of 54625663426656 is 65662436652645.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54625663426657) 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 7 ways as a sum of consecutive naturals, for example, 40644094140 + ... + 40644095483.

It is an arithmetic number, because the mean of its divisors is an integer number (3414103964208).

Almost surely, 254625663426656 is an apocalyptic number.

54625663426656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

54625663426656 is an abundant number, since it is smaller than the sum of its proper divisors (109251326855328).

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

54625663426656 is a wasteful number, since it uses less digits than its factorization.

54625663426656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81288189643 (or 81288189635 counting only the distinct ones).

The product of its digits is 1119744000, while the sum is 66.

The spelling of 54625663426656 in words is "fifty-four trillion, six hundred twenty-five billion, six hundred sixty-three million, four hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 81288189623 162576379246 243864568869 325152758492 487729137738 569017327361 650305516984 975458275476 1138034654722 1300611033968 1707051982083 1950916550952 2276069309444 2601222067936 3414103964166 3901833101904 4552138618888 6828207928332 7803666203808 9104277237776 13656415856664 18208554475552 27312831713328 54625663426656