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450125366500032 = 26317137906055913
BaseRepresentation
bin110011001011000101111101…
…0100100110001101011000000
32012000202120020201121102212120
41212112023322210301223000
5432444323222311000112
64233200423315324240
7163545325125131526
oct14626137244615300
92160676221542776
10450125366500032
111204731067107a3
124259938a5b0680
1316421841bc91a2
147d22280bc0316
153708bd8e42e8c
hex19962fa931ac0

450125366500032 has 56 divisors (see below), whose sum is σ = 1261012975277616. Its totient is φ = 141215801253888.

The previous prime is 450125366499971. The next prime is 450125366500141. The reversal of 450125366500032 is 230005663521054.

It is a happy number.

It is a super-2 number, since 2×4501253665000322 (a number of 30 digits) contains 22 as substring.

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, 68953024693 + ... + 68953031220.

Almost surely, 2450125366500032 is an apocalyptic number.

It is an amenable number.

450125366500032 is an abundant number, since it is smaller than the sum of its proper divisors (810887608777584).

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

450125366500032 is a wasteful number, since it uses less digits than its factorization.

450125366500032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137906055945 (or 137906055935 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 450125366500032 in words is "four hundred fifty trillion, one hundred twenty-five billion, three hundred sixty-six million, five hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 137906055913 275812111826 413718167739 551624223652 827436335478 1103248447304 1654872670956 2206496894608 2344402950521 3309745341912 4412993789216 4688805901042 6619490683824 7033208851563 8825987578432 9377611802084 13238981367648 14066417703126 18755223604168 26477962735296 28132835406252 37510447208336 56265670812504 75020894416672 112531341625008 150041788833344 225062683250016 450125366500032