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45139648512 = 21337262391
BaseRepresentation
bin101010000010100010…
…000110000000000000
311022111212012201210210
4222002202012000000
51214421222223022
632423055154120
73155413452540
oct520242060000
9138455181723
1045139648512
1118164178042
1288b9215940
134344b274ba
142283021320
151292d25a0c
hexa82886000

45139648512 has 112 divisors (see below), whose sum is σ = 137560580352. Its totient is φ = 12896993280.

The previous prime is 45139648511. The next prime is 45139648529. The reversal of 45139648512 is 21584693154.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45139648511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40837 + ... + 303227.

Almost surely, 245139648512 is an apocalyptic number.

45139648512 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45139648512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68780290176).

45139648512 is an abundant number, since it is smaller than the sum of its proper divisors (92420931840).

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

45139648512 is an equidigital number, since it uses as much as digits as its factorization.

45139648512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262427 (or 262403 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The spelling of 45139648512 in words is "forty-five billion, one hundred thirty-nine million, six hundred forty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 4096 5376 6144 7168 8192 10752 12288 14336 21504 24576 28672 43008 57344 86016 172032 262391 524782 787173 1049564 1574346 1836737 2099128 3148692 3673474 4198256 5510211 6297384 7346948 8396512 11020422 12594768 14693896 16793024 22040844 25189536 29387792 33586048 44081688 50379072 58775584 67172096 88163376 100758144 117551168 134344192 176326752 201516288 235102336 268688384 352653504 403032576 470204672 537376768 705307008 806065152 940409344 1074753536 1410614016 1612130304 1880818688 2149507072 2821228032 3224260608 3761637376 5642456064 6448521216 7523274752 11284912128 15046549504 22569824256 45139648512