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128959061436 = 22325921795749
BaseRepresentation
bin111100000011010001…
…1110001110110111100
3110022212101020002100200
41320012203301312330
54103102004431221
6135124252123500
712213503636022
oct1700643616674
9408771202320
10128959061436
114a767034627
1220bb0166590
13c21233285a
146355142712
15354b797426
hex1e068f1dbc

128959061436 has 108 divisors (see below), whose sum is σ = 333509085000. Its totient is φ = 42014385216.

The previous prime is 128959061419. The next prime is 128959061449. The reversal of 128959061436 is 634160959821.

128959061436 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 590 + 6 + 1 + 43 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22428690 + ... + 22434438.

Almost surely, 2128959061436 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 128959061436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166754542500).

128959061436 is an abundant number, since it is smaller than the sum of its proper divisors (204550023564).

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

128959061436 is a wasteful number, since it uses less digits than its factorization.

128959061436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6056 (or 5992 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 128959061436 in words is "one hundred twenty-eight billion, nine hundred fifty-nine million, sixty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 179 236 354 358 531 537 708 716 1062 1074 1611 2124 2148 3222 3481 5749 6444 6962 10443 10561 11498 13924 17247 20886 21122 22996 31329 31683 34494 41772 42244 51741 62658 63366 68988 95049 103482 125316 126732 190098 206964 339191 380196 623099 678382 1017573 1029071 1246198 1356764 1869297 2035146 2058142 2492396 3052719 3087213 3738594 4070292 4116284 5607891 6105438 6174426 7477188 9261639 11215782 12210876 12348852 18523278 20012269 22431564 37046556 40024538 60036807 60715189 80049076 120073614 121430378 180110421 182145567 240147228 242860756 360220842 364291134 546436701 720441684 728582268 1092873402 2185746804 3582196151 7164392302 10746588453 14328784604 21493176906 32239765359 42986353812 64479530718 128959061436