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61152656128 = 282383912379
BaseRepresentation
bin111000111100111110…
…110111101100000000
312211211211111210200221
4320330332313230000
52000220034444003
644032041352424
74263264000124
oct707476675400
9184754453627
1061152656128
1123a31097733
12ba27a98714
1359c74b6235
142d619bb584
1518cda3a7bd
hexe3cfb7b00

61152656128 has 72 divisors (see below), whose sum is σ = 127535788800. Its totient is φ = 29209703424.

The previous prime is 61152656119. The next prime is 61152656189. The reversal of 61152656128 is 82165625116.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4933843 + ... + 4946221.

It is an arithmetic number, because the mean of its divisors is an integer number (1771330400).

Almost surely, 261152656128 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 61152656128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63767894400).

61152656128 is an abundant number, since it is smaller than the sum of its proper divisors (66383132672).

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

61152656128 is a wasteful number, since it uses less digits than its factorization.

61152656128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13257 (or 13243 counting only the distinct ones).

The product of its digits is 172800, while the sum is 43.

The spelling of 61152656128 in words is "sixty-one billion, one hundred fifty-two million, six hundred fifty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 736 839 1472 1678 2944 3356 5888 6712 12379 13424 19297 24758 26848 38594 49516 53696 77188 99032 107392 154376 198064 214784 284717 308752 396128 569434 617504 792256 1138868 1235008 1584512 2277736 2470016 3169024 4555472 4940032 9110944 10385981 18221888 20771962 36443776 41543924 72887552 83087848 166175696 238877563 332351392 477755126 664702784 955510252 1329405568 1911020504 2658811136 3822041008 7644082016 15288164032 30576328064 61152656128