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45085172139126 = 2347193205998173
BaseRepresentation
bin10100100000001001101011…
…01010111000010001110110
312220122002201011110002210000
422100010311222320101312
521402133413031423001
6235515501523212130
712332203411043250
oct1220046552702166
9186562634402700
1045085172139126
1113402572339359
125081984b17046
131c2068a1a3292
14b1c1c38aacd0
15532b7ea17a86
hex290135ab8476

45085172139126 has 80 divisors (see below), whose sum is σ = 116054427275424. Its totient is φ = 12814734283776.

The previous prime is 45085172139097. The next prime is 45085172139157. The reversal of 45085172139126 is 62193127158054.

45085172139126 is a `hidden beast` number, since 4 + 5 + 0 + 8 + 517 + 2 + 13 + 91 + 26 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 102780225 + ... + 103217948.

It is a 1-persistent number, because it is pandigital, but 2⋅45085172139126 = 90170344278252 is not.

Almost surely, 245085172139126 is an apocalyptic number.

45085172139126 is an abundant number, since it is smaller than the sum of its proper divisors (70969255136298).

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

45085172139126 is a wasteful number, since it uses less digits than its factorization.

45085172139126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205998387 (or 205998378 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 45085172139126 in words is "forty-five trillion, eighty-five billion, one hundred seventy-two million, one hundred thirty-nine thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 193 378 386 567 579 1134 1158 1351 1737 2702 3474 4053 5211 8106 10422 12159 15633 24318 31266 36477 72954 109431 218862 205998173 411996346 617994519 1235989038 1441987211 1853983557 2883974422 3707967114 4325961633 5561950671 8651923266 11123901342 12977884899 16685852013 25955769798 33371704026 38933654697 39757647389 77867309394 79515294778 116800964091 119272942167 233601928182 238545884334 278303531723 357818826501 556607063446 715637653002 834910595169 1073456479503 1669821190338 2146912959006 2504731785507 3220369438509 5009463571014 6440738877018 7514195356521 15028390713042 22542586069563 45085172139126