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2138061093408 = 25341943414171
BaseRepresentation
bin11111000111001110010…
…111110011101000100000
321120101201011011001220000
4133013032113303220200
5240012222114442113
64314113421220000
7310320101302332
oct37071627635040
97511634131800
102138061093408
11754823825789
122a6454401600
1312680651c856
14756a87a7452
153a9388a8373
hex1f1ce5f3a20

2138061093408 has 120 divisors (see below), whose sum is σ = 6618924663120. Its totient is φ = 675177171840.

The previous prime is 2138061093383. The next prime is 2138061093431. The reversal of 2138061093408 is 8043901608312.

2138061093408 is a `hidden beast` number, since 2 + 138 + 0 + 6 + 109 + 3 + 408 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21657838 + ... + 21756333.

It is an arithmetic number, because the mean of its divisors is an integer number (55157705526).

Almost surely, 22138061093408 is an apocalyptic number.

It is an amenable number.

2138061093408 is an abundant number, since it is smaller than the sum of its proper divisors (4480863569712).

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

2138061093408 is a wasteful number, since it uses less digits than its factorization.

2138061093408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43414212 (or 43414195 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 2138061093408 in words is "two trillion, one hundred thirty-eight billion, sixty-one million, ninety-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 144 152 162 171 216 228 288 304 324 342 432 456 513 608 648 684 864 912 1026 1296 1368 1539 1824 2052 2592 2736 3078 4104 5472 6156 8208 12312 16416 24624 49248 43414171 86828342 130242513 173656684 260485026 347313368 390727539 520970052 694626736 781455078 824869249 1041940104 1172182617 1389253472 1562910156 1649738498 2083880208 2344365234 2474607747 3125820312 3299476996 3516547851 4167760416 4688730468 4949215494 6251640624 6598953992 7033095702 7423823241 9377460936 9898430988 12503281248 13197907984 14066191404 14847646482 18754921872 19796861976 22271469723 26395815968 28132382808 29695292964 37509843744 39593723952 44542939446 56264765616 59390585928 66814409169 79187447904 89085878892 112529531232 118781171856 133628818338 178171757784 237562343712 267257636676 356343515568 534515273352 712687031136 1069030546704 2138061093408