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10152250745832 = 23321338328319639
BaseRepresentation
bin1001001110111100000101…
…0011001010001111101000
31022221112201210212111112200
42103233001103022033220
52312313302142331312
633331513554540200
72065322144336616
oct223570123121750
938845653774480
1010152250745832
1132645aa971898
12117b6a8297660
13588478ac6040
1427152b7aa6b6
1512913b4150dc
hex93bc14ca3e8

10152250745832 has 96 divisors (see below), whose sum is σ = 29688045004800. Its totient is φ = 3115613294208.

The previous prime is 10152250745827. The next prime is 10152250745887. The reversal of 10152250745832 is 23854705225101.

10152250745832 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 22 + 507 + 45 + 83 + 2 = 666.

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, 13801332 + ... + 14518307.

It is an arithmetic number, because the mean of its divisors is an integer number (309250468800).

Almost surely, 210152250745832 is an apocalyptic number.

10152250745832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10152250745832 is an abundant number, since it is smaller than the sum of its proper divisors (19535794258968).

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

10152250745832 is a wasteful number, since it uses less digits than its factorization.

10152250745832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28320047 (or 28320040 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 10152250745832 in words is "ten trillion, one hundred fifty-two billion, two hundred fifty million, seven hundred forty-five thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 383 468 766 936 1149 1532 2298 3064 3447 4596 4979 6894 9192 9958 13788 14937 19916 27576 29874 39832 44811 59748 89622 119496 179244 358488 28319639 56639278 84958917 113278556 169917834 226557112 254876751 339835668 368155307 509753502 679671336 736310614 1019507004 1104465921 1472621228 2039014008 2208931842 2945242456 3313397763 4417863684 6626795526 8835727368 10846421737 13253591052 21692843474 26507182104 32539265211 43385686948 65078530422 86771373896 97617795633 130157060844 141003482581 195235591266 260314121688 282006965162 390471182532 423010447743 564013930324 780942365064 846020895486 1128027860648 1269031343229 1692041790972 2538062686458 3384083581944 5076125372916 10152250745832