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51111055474976 = 2571933593293177
BaseRepresentation
bin10111001111100001110000…
…10011100100000100100000
320200222011120100001100110202
423213300320103210010200
523144400420200144401
6300412032244044332
713523436413221130
oct1347607023440440
9220864510040422
1051111055474976
1115316093398062
1258957b90936a8
1322699a0a7a003
14c89b070a2ac0
155d97b0eac06b
hex2e7c384e4120

51111055474976 has 96 divisors (see below), whose sum is σ = 115917757966080. Its totient is φ = 21730535571456.

The previous prime is 51111055474931. The next prime is 51111055474981. The reversal of 51111055474976 is 67947455011115.

It is a happy number.

It is a super-2 number, since 2×511110554749762 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

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 15 ways as a sum of consecutive naturals, for example, 13873700 + ... + 17166876.

It is an arithmetic number, because the mean of its divisors is an integer number (1207476645480).

Almost surely, 251111055474976 is an apocalyptic number.

51111055474976 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51111055474976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57958878983040).

51111055474976 is an abundant number, since it is smaller than the sum of its proper divisors (64806702491104).

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

51111055474976 is a wasteful number, since it uses less digits than its factorization.

51111055474976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3293746 (or 3293738 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 56.

The spelling of 51111055474976 in words is "fifty-one trillion, one hundred eleven billion, fifty-five million, four hundred seventy-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 193 224 359 386 718 772 1351 1436 1544 2513 2702 2872 3088 5026 5404 5744 6176 10052 10808 11488 20104 21616 40208 43232 69287 80416 138574 277148 485009 554296 970018 1108592 1940036 2217184 3293177 3880072 6586354 7760144 13172708 15520288 23052239 26345416 46104478 52690832 92208956 105381664 184417912 368835824 635583161 737671648 1182250543 1271166322 2364501086 2542332644 4449082127 4729002172 5084665288 8275753801 8898164254 9458004344 10169330576 16551507602 17796328508 18916008688 20338661152 33103015204 35592657016 37832017376 66206030408 71185314032 132412060816 142370628064 228174354799 264824121632 456348709598 912697419196 1597220483593 1825394838392 3194440967186 3650789676784 6388881934372 7301579353568 12777763868744 25555527737488 51111055474976