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51630365064544 = 25719106911348171
BaseRepresentation
bin10111011110101001000011…
…00100011011110101100000
320202210210222220122211220021
423233110201210123311200
523231402441424031134
6301450355014523224
713606112402003140
oct1357244144336540
9222723886584807
1051630365064544
11154a6351094a42
12595a388966514
1322a6951540116
14ca6ccca0c920
155e8056e300b4
hex2ef52191bd60

51630365064544 has 96 divisors (see below), whose sum is σ = 122396843923200. Its totient is φ = 20943093127680.

The previous prime is 51630365064517. The next prime is 51630365064559. The reversal of 51630365064544 is 44546056303615.

51630365064544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×516303650645442 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51630365064491 and 51630365064500.

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 15 ways as a sum of consecutive naturals, for example, 1124422 + ... + 10223749.

It is an arithmetic number, because the mean of its divisors is an integer number (1274967124200).

Almost surely, 251630365064544 is an apocalyptic number.

It is an amenable number.

51630365064544 is an abundant number, since it is smaller than the sum of its proper divisors (70766478858656).

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

51630365064544 is a wasteful number, since it uses less digits than its factorization.

51630365064544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11349276 (or 11349268 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 52.

The spelling of 51630365064544 in words is "fifty-one trillion, six hundred thirty billion, three hundred sixty-five million, sixty-four thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 1069 2128 2138 4256 4276 7483 8552 14966 17104 20311 29932 34208 40622 59864 81244 119728 142177 162488 239456 284354 324976 568708 649952 1137416 2274832 4549664 11348171 22696342 45392684 79437197 90785368 158874394 181570736 215615249 317748788 363141472 431230498 635497576 862460996 1270995152 1509306743 1724921992 2541990304 3018613486 3449843984 6037226972 6899687968 12074453944 12131194799 24148907888 24262389598 48297815776 48524779196 84918363593 97049558392 169836727186 194099116784 230492701181 339673454372 388198233568 460985402362 679346908744 921970804724 1358693817488 1613448908267 1843941609448 2717387634976 3226897816534 3687883218896 6453795633068 7375766437792 12907591266136 25815182532272 51630365064544