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45026377875648 = 2633132004379357
BaseRepresentation
bin10100011110011100001010…
…10000100100000011000000
312220102110221200200001121000
422033032011100210003000
521400203010214010043
6235432455450132000
712325022422045341
oct1217160520440300
9186373850601530
1045026377875648
111338a641525a64
1250724b6a21000
131c17c7a498670
14b194071dc0c8
1553138d0852d3
hex28f3854240c0

45026377875648 has 112 divisors (see below), whose sum is σ = 142551459940960. Its totient is φ = 13854270108672.

The previous prime is 45026377875623. The next prime is 45026377875683. The reversal of 45026377875648 is 84657877362054.

45026377875648 is a `hidden beast` number, since 4 + 5 + 0 + 26 + 37 + 7 + 8 + 7 + 564 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1002167215 + ... + 1002212142.

It is an arithmetic number, because the mean of its divisors is an integer number (1272780892330).

Almost surely, 245026377875648 is an apocalyptic number.

45026377875648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45026377875648 is an abundant number, since it is smaller than the sum of its proper divisors (97525082065312).

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

45026377875648 is a wasteful number, since it uses less digits than its factorization.

45026377875648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004379391 (or 2004379375 counting only the distinct ones).

The product of its (nonzero) digits is 1896652800, while the sum is 72.

The spelling of 45026377875648 in words is "forty-five trillion, twenty-six billion, three hundred seventy-seven million, eight hundred seventy-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 5616 7488 11232 22464 2004379357 4008758714 6013138071 8017517428 12026276142 16035034856 18039414213 24052552284 26056931641 32070069712 36078828426 48105104568 52113863282 54118242639 64140139424 72157656852 78170794923 96210209136 104227726564 108236485278 128280278848 144315313704 156341589846 192420418272 208455453128 216472970556 234512384769 288630627408 312683179692 384840836544 416910906256 432945941112 469024769538 577261254816 625366359384 703537154307 833821812512 865891882224 938049539076 1154522509632 1250732718768 1407074308614 1667643625024 1731783764448 1876099078152 2501465437536 2814148617228 3463567528896 3752198156304 5002930875072 5628297234456 7504396312608 11256594468912 15008792625216 22513188937824 45026377875648