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45332020360 = 23511718317483
BaseRepresentation
bin101010001101111111…
…111011110010001000
311100000021012020101001
4222031333323302020
51220314444122420
632454130304344
73163240546444
oct521577736210
9140007166331
1045332020360
111825281a940
1289517280b4
1343759406b3
1422a07b9824
1512a4b74b0a
hexa8dffbc88

45332020360 has 128 divisors (see below), whose sum is σ = 114202690560. Its totient is φ = 16055468800.

The previous prime is 45332020339. The next prime is 45332020399. The reversal of 45332020360 is 6302023354.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2584179 + ... + 2601661.

It is an arithmetic number, because the mean of its divisors is an integer number (892208520).

Almost surely, 245332020360 is an apocalyptic number.

45332020360 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 45332020360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57101345280).

45332020360 is an abundant number, since it is smaller than the sum of its proper divisors (68870670200).

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

45332020360 is a wasteful number, since it uses less digits than its factorization.

45332020360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17659 (or 17655 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

The spelling of 45332020360 in words is "forty-five billion, three hundred thirty-two million, twenty thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 71 83 88 110 142 166 220 284 332 355 415 440 568 664 710 781 830 913 1420 1562 1660 1826 2840 3124 3320 3652 3905 4565 5893 6248 7304 7810 9130 11786 15620 17483 18260 23572 29465 31240 34966 36520 47144 58930 64823 69932 87415 117860 129646 139864 174830 192313 235720 259292 324115 349660 384626 518584 648230 699320 769252 961565 1241293 1296460 1451089 1538504 1923130 2482586 2592920 2902178 3846260 4965172 5804356 6206465 7255445 7692520 9930344 11608712 12412930 13654223 14510890 15961979 24825860 27308446 29021780 31923958 49651720 54616892 58043560 63847916 68271115 79809895 103027319 109233784 127695832 136542230 159619790 206054638 273084460 319239580 412109276 515136595 546168920 638479160 824218552 1030273190 1133300509 2060546380 2266601018 4121092760 4533202036 5666502545 9066404072 11333005090 22666010180 45332020360