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2607340055076 = 223410928232
BaseRepresentation
bin100101111100010001100…
…100111110101000100100
3100020021000000022100010000
4211330101210332220210
5320204313023230301
65313443454101300
7356242213536411
oct45742144765044
910207000270100
102607340055076
119158485403a9
123613a0aaa830
1315bb42aab223
14902a58cd108
1547c52436786
hex25f1193ea24

2607340055076 has 135 divisors (see below), whose sum is σ = 6887577531681. Its totient is φ = 860093492256.

The previous prime is 2607340055063. The next prime is 2607340055081. The reversal of 2607340055076 is 6705500437062.

The square root of 2607340055076 is 1614726.

It is a perfect power (a square), and thus also a powerful number.

2607340055076 is a `hidden beast` number, since 2 + 60 + 7 + 34 + 0 + 0 + 550 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1817303509476 + 790036545600 = 1348074^2 + 888840^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3168092001 + ... + 3168092823.

Almost surely, 22607340055076 is an apocalyptic number.

2607340055076 is the 1614726-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2607340055076

2607340055076 is an abundant number, since it is smaller than the sum of its proper divisors (4280237476605).

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

2607340055076 is an frugal number, since it uses more digits than its factorization.

2607340055076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 2607340055076 in words is "two trillion, six hundred seven billion, three hundred forty million, fifty-five thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 109 162 218 324 327 436 654 823 981 1308 1646 1962 2469 2943 3292 3924 4938 5886 7407 8829 9876 11772 11881 14814 17658 22221 23762 29628 35316 35643 44442 47524 66663 71286 88884 89707 106929 133326 142572 179414 213858 266652 269121 320787 358828 427716 538242 641574 677329 807363 962361 1076484 1283148 1354658 1614726 1924722 2031987 2422089 2709316 3229452 3849444 4063974 4844178 6095961 7266267 8127948 9688356 9778063 12191922 14532534 18287883 19556126 24383844 29065068 29334189 36575766 39112252 54863649 58668378 73151532 73828861 88002567 109727298 117336756 147657722 176005134 219454596 221486583 264007701 295315444 352010268 442973166 528015402 664459749 792023103 885946332 1056030804 1328919498 1584046206 1993379247 2657838996 3168092412 3986758494 5980137741 7973516988 8047345849 11960275482 16094691698 23920550964 24142037547 32189383396 48284075094 72426112641 96568150188 144852225282 217278337923 289704450564 434556675846 651835013769 869113351692 1303670027538 2607340055076