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556461255442816 = 2717607421296013
BaseRepresentation
bin111111010000110010011101…
…1011101100100000110000000
32200222021011202122202201222201
41332201210323131210012000
51040414030122343132231
65251254434403042544
7225131666440601113
oct17641447335440600
92628234678681881
10556461255442816
1115133a990867509
12524b1b04670454
131ab660c0649029
149b5ac2310c57a
15444ec7a980161
hex1fa193b764180

556461255442816 has 64 divisors (see below), whose sum is σ = 1175719212190080. Its totient is φ = 261432712470528.

The previous prime is 556461255442801. The next prime is 556461255442823. The reversal of 556461255442816 is 618244552164655.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209327175 + ... + 211968838.

It is an arithmetic number, because the mean of its divisors is an integer number (18370612690470).

Almost surely, 2556461255442816 is an apocalyptic number.

It is an amenable number.

556461255442816 is an abundant number, since it is smaller than the sum of its proper divisors (619257956747264).

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

556461255442816 is a wasteful number, since it uses less digits than its factorization.

556461255442816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421296651 (or 421296639 counting only the distinct ones).

The product of its digits is 276480000, while the sum is 64.

The spelling of 556461255442816 in words is "five hundred fifty-six trillion, four hundred sixty-one billion, two hundred fifty-five million, four hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 607 1088 1214 2176 2428 4856 9712 10319 19424 20638 38848 41276 77696 82552 165104 330208 660416 1320832 421296013 842592026 1685184052 3370368104 6740736208 7162032221 13481472416 14324064442 26962944832 28648128884 53925889664 57296257768 114592515536 229185031072 255726679891 458370062144 511453359782 916740124288 1022906719564 2045813439128 4091626878256 4347353558147 8183253756512 8694707116294 16366507513024 17389414232588 32733015026048 34778828465176 69557656930352 139115313860704 278230627721408 556461255442816