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51010105606056 = 233216736711559557
BaseRepresentation
bin10111001100100101101110…
…01110010111111110101000
320200121111222222001200000200
423212102313032113332220
523141222144013343211
6300253415150032200
713513233653413362
oct1346226716277650
9220544888050020
1051010105606056
111528729a869423
12587a1251a8660
13226030353336c
14c84c8bc23d32
155d6d53694b56
hex2e64b7397fa8

51010105606056 has 96 divisors (see below), whose sum is σ = 139358332189440. Its totient is φ = 16855497224064.

The previous prime is 51010105606049. The next prime is 51010105606073. The reversal of 51010105606056 is 65060650101015.

51010105606056 is a `hidden beast` number, since 5 + 10 + 10 + 10 + 560 + 60 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 51010105606056.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1366971 + ... + 10192586.

It is an arithmetic number, because the mean of its divisors is an integer number (1451649293640).

Almost surely, 251010105606056 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 51010105606056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69679166094720).

51010105606056 is an abundant number, since it is smaller than the sum of its proper divisors (88348226583384).

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

51010105606056 is a wasteful number, since it uses less digits than its factorization.

51010105606056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11560103 (or 11560096 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 51010105606056 in words is "fifty-one trillion, ten billion, one hundred five million, six hundred six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 167 334 367 501 668 734 1002 1101 1336 1468 1503 2004 2202 2936 3006 3303 4008 4404 6012 6606 8808 12024 13212 26424 61289 122578 183867 245156 367734 490312 551601 735468 1103202 1470936 2206404 4412808 11559557 23119114 34678671 46238228 69357342 92476456 104036013 138714684 208072026 277429368 416144052 832288104 1930446019 3860892038 4242357419 5791338057 7721784076 8484714838 11582676114 12727072257 15443568152 16969429676 17374014171 23165352228 25454144514 33938859352 34748028342 38181216771 46330704456 50908289028 69496056684 76362433542 101816578056 138992113368 152724867084 305449734168 708473688973 1416947377946 2125421066919 2833894755892 4250842133838 5667789511784 6376263200757 8501684267676 12752526401514 17003368535352 25505052803028 51010105606056