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128656053504 = 2832115076391
BaseRepresentation
bin111011111010001111…
…1111001010100000000
3110022002021001200121200
41313310133321110000
54101441422203004
6135034225421200
712203134260666
oct1676437712400
9408067050550
10128656053504
114a620a96250
1220b2679a800
13c194620914
146326bc8c36
15352ed92239
hex1df47f9500

128656053504 has 108 divisors (see below), whose sum is σ = 404669664672. Its totient is φ = 38986675200.

The previous prime is 128656053479. The next prime is 128656053509. The reversal of 128656053504 is 405350656821.

128656053504 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 5 + 605 + 35 + 0 + 4 = 666.

It is a super-2 number, since 2×1286560535042 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 128656053504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128656053509) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2512852 + ... + 2563539.

Almost surely, 2128656053504 is an apocalyptic number.

It is an amenable number.

128656053504 is an abundant number, since it is smaller than the sum of its proper divisors (276013611168).

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

128656053504 is a wasteful number, since it uses less digits than its factorization.

128656053504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5076424 (or 5076407 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

It can be divided in two parts, 12865 and 6053504, that added together give a square (6066369 = 24632).

The spelling of 128656053504 in words is "one hundred twenty-eight billion, six hundred fifty-six million, fifty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 576 704 768 792 1056 1152 1408 1584 2112 2304 2816 3168 4224 6336 8448 12672 25344 5076391 10152782 15229173 20305564 30458346 40611128 45687519 55840301 60916692 81222256 91375038 111680602 121833384 162444512 167520903 182750076 223361204 243666768 324889024 335041806 365500152 446722408 487333536 502562709 649778048 670083612 731000304 893444816 974667072 1005125418 1299556096 1340167224 1462000608 1786889632 1949334144 2010250836 2680334448 2924001216 3573779264 3898668288 4020501672 5360668896 5848002432 7147558528 8041003344 10721337792 11696004864 14295117056 16082006688 21442675584 32164013376 42885351168 64328026752 128656053504