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506625441036 = 22311213149317977
BaseRepresentation
bin1110101111101010011…
…10101011110100001100
31210102200121010222201120
413113311032223310030
531300032103103121
61024423541240540
751413436124101
oct7276516536414
91712617128646
10506625441036
11185949943400
128222ba03150
1338a0b97c2a0
141a74111caa8
15d2a2611bc6
hex75f53abd0c

506625441036 has 144 divisors (see below), whose sum is σ = 1400327705952. Its totient is φ = 141610613760.

The previous prime is 506625441011. The next prime is 506625441059. The reversal of 506625441036 is 630144526605.

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 47 ways as a sum of consecutive naturals, for example, 28172880 + ... + 28190856.

It is an arithmetic number, because the mean of its divisors is an integer number (9724497958).

Almost surely, 2506625441036 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 506625441036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700163852976).

506625441036 is an abundant number, since it is smaller than the sum of its proper divisors (893702264916).

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

506625441036 is a wasteful number, since it uses less digits than its factorization.

506625441036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19512 (or 19499 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 506625441036 in words is "five hundred six billion, six hundred twenty-five million, four hundred forty-one thousand, thirty-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 121 132 143 156 242 286 363 429 484 572 726 858 1452 1493 1573 1716 2986 3146 4479 4719 5972 6292 8958 9438 16423 17916 17977 18876 19409 32846 35954 38818 49269 53931 58227 65692 71908 77636 98538 107862 116454 180653 197076 197747 213499 215724 232908 233701 361306 395494 426998 467402 541959 593241 640497 701103 722612 790988 853996 934804 1083918 1186482 1280994 1402206 2167836 2175217 2348489 2372964 2561988 2570711 2804412 4350434 4696978 5141422 6525651 7045467 7712133 8700868 9393956 10282844 13051302 14090934 15424266 26102604 26839661 28181868 28277821 30848532 53679322 56555642 80518983 84833463 107358644 113111284 161037966 169666926 295236271 322075932 339333852 348915593 590472542 697831186 885708813 1046746779 1180945084 1395662372 1771417626 2093493558 3247598981 3542835252 3838071523 4186987116 6495197962 7676143046 9742796943 11514214569 12990395924 15352286092 19485593886 23028429138 38971187772 42218786753 46056858276 84437573506 126656360259 168875147012 253312720518 506625441036