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45136064200 = 23521767198139
BaseRepresentation
bin101010000010010100…
…011010111011001000
311022111121110122001111
4222002110122323020
51214414313023300
632422450300104
73155341133623
oct520224327310
9138447418044
1045136064200
111816214a0a7
1288b7b87634
134344170bc6
14228276adba
1512928689ba
hexa8251aec8

45136064200 has 96 divisors (see below), whose sum is σ = 112773362400. Its totient is φ = 16738698240.

The previous prime is 45136064131. The next prime is 45136064299. The reversal of 45136064200 is 246063154.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128731 + ... + 326869.

It is an arithmetic number, because the mean of its divisors is an integer number (1174722525).

Almost surely, 245136064200 is an apocalyptic number.

45136064200 is a gapful number since it is divisible by the number (40) 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 45136064200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56386681200).

45136064200 is an abundant number, since it is smaller than the sum of its proper divisors (67637298200).

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

45136064200 is a wasteful number, since it uses less digits than its factorization.

45136064200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198239 (or 198230 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 45136064200 in words is "forty-five billion, one hundred thirty-six million, sixty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 67 68 85 100 134 136 170 200 268 335 340 425 536 670 680 850 1139 1340 1675 1700 2278 2680 3350 3400 4556 5695 6700 9112 11390 13400 22780 28475 45560 56950 113900 198139 227800 396278 792556 990695 1585112 1981390 3368363 3962780 4953475 6736726 7925560 9906950 13275313 13473452 16841815 19813900 26550626 26946904 33683630 39627800 53101252 66376565 67367260 84209075 106202504 132753130 134734520 168418150 225680321 265506260 331882825 336836300 451360642 531012520 663765650 673672600 902721284 1128401605 1327531300 1805442568 2256803210 2655062600 4513606420 5642008025 9027212840 11284016050 22568032100 45136064200