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45137392896792 = 2337256416804137
BaseRepresentation
bin10100100001101010111100…
…10001010000101100011000
312220211002111112000110012210
422100311132101100230120
521404012340040144132
6235555455415235120
712336032450131200
oct1220653621205430
9186732445013183
1045137392896792
111342272a619519
12508bb19678aa0
131c255900618a1
14b2093911d400
155341d9329bcc
hex290d5e450b18

45137392896792 has 96 divisors (see below), whose sum is σ = 131290197358320. Its totient is φ = 12894109885440.

The previous prime is 45137392896769. The next prime is 45137392896859. The reversal of 45137392896792 is 29769829373154.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3231748 + ... + 10035884.

Almost surely, 245137392896792 is an apocalyptic number.

45137392896792 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

45137392896792 is an abundant number, since it is smaller than the sum of its proper divisors (86152804461528).

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

45137392896792 is a wasteful number, since it uses less digits than its factorization.

45137392896792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6809801 (or 6809790 counting only the distinct ones).

The product of its digits is 1234517760, while the sum is 75.

The spelling of 45137392896792 in words is "forty-five trillion, one hundred thirty-seven billion, three hundred ninety-two million, eight hundred ninety-six thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 5641 11282 16923 22564 33846 39487 45128 67692 78974 118461 135384 157948 236922 276409 315896 473844 552818 829227 947688 1105636 1658454 2211272 3316908 6633816 6804137 13608274 20412411 27216548 40824822 47628959 54433096 81649644 95257918 142886877 163299288 190515836 285773754 333402713 381031672 571547508 666805426 1000208139 1143095016 1333610852 2000416278 2667221704 4000832556 8001665112 38382136817 76764273634 115146410451 153528547268 230292820902 268674957719 307057094536 460585641804 537349915438 806024873157 921171283608 1074699830876 1612049746314 1880724704033 2149399661752 3224099492628 3761449408066 5642174112099 6448198985256 7522898816132 11284348224198 15045797632264 22568696448396 45137392896792