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505056660612 = 223722347794579
BaseRepresentation
bin1110101100101111011…
…10010000110010000100
31210021122021012200112220
413112113232100302010
531233324001114422
61024004141012340
751326526532200
oct7262756206204
91707567180486
10505056660612
11185214355459
1281a725540b0
133881b95764a
141a632a33b00
15d20ea2ce5c
hex7597b90c84

505056660612 has 144 divisors (see below), whose sum is σ = 1460908431360. Its totient is φ = 135090973248.

The previous prime is 505056660587. The next prime is 505056660623. The reversal of 505056660612 is 216066650505.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 238339 + ... + 1032917.

It is an arithmetic number, because the mean of its divisors is an integer number (10145197440).

Almost surely, 2505056660612 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505056660612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730454215680).

505056660612 is an abundant number, since it is smaller than the sum of its proper divisors (955851770748).

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

505056660612 is a wasteful number, since it uses less digits than its factorization.

505056660612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794670 (or 794661 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 505056660612 in words is "five hundred five billion, fifty-six million, six hundred sixty thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 47 49 69 84 92 94 98 138 141 147 161 188 196 276 282 294 322 329 483 564 588 644 658 966 987 1081 1127 1316 1932 1974 2162 2254 2303 3243 3381 3948 4324 4508 4606 6486 6762 6909 7567 9212 12972 13524 13818 15134 22701 27636 30268 45402 52969 90804 105938 158907 211876 317814 635628 794579 1589158 2383737 3178316 4767474 5562053 9534948 11124106 16686159 18275317 22248212 33372318 36550634 37345213 38934371 54825951 66744636 73101268 74690426 77868742 109651902 112035639 116803113 127927219 149380852 155737484 219303804 224071278 233606226 255854438 261416491 383781657 448142556 467212452 511708876 522832982 767563314 784249473 858939899 895490533 1045665964 1535126628 1568498946 1717879798 1790981066 1829915437 2576819697 2686471599 3136997892 3435759596 3581962132 3659830874 5153639394 5372943198 5489746311 6012579293 7319661748 10307278788 10745886396 10979492622 12025158586 18037737879 21958985244 24050317172 36075475758 42088055051 72150951516 84176110102 126264165153 168352220204 252528330306 505056660612