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32103704064 = 29373893217
BaseRepresentation
bin11101111001100001…
…111010011000000000
310001212100210010211110
4131321201322120000
51011222022012224
622425341443320
72214362660565
oct357141723000
9101770703743
1032103704064
1112684782033
12627b570540
13304817bbc3
1417a79ba86c
15c7d673929
hex77987a600

32103704064 has 160 divisors (see below), whose sum is σ = 87699252960. Its totient is φ = 10432806912.

The previous prime is 32103704063. The next prime is 32103704069. The reversal of 32103704064 is 46040730123.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32103704063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9977784 + ... + 9981000.

It is an arithmetic number, because the mean of its divisors is an integer number (548120331).

Almost surely, 232103704064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32103704064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43849626480).

32103704064 is an abundant number, since it is smaller than the sum of its proper divisors (55595548896).

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

32103704064 is an equidigital number, since it uses as much as digits as its factorization.

32103704064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

It can be divided in two parts, 3 and 2103704064, that multiplied together give a cube (6311112192 = 18483).

The spelling of 32103704064 in words is "thirty-two billion, one hundred three million, seven hundred four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 89 96 128 146 178 192 219 256 267 292 356 384 438 512 534 584 712 768 876 1068 1168 1424 1536 1752 2136 2336 2848 3217 3504 4272 4672 5696 6434 6497 7008 8544 9344 9651 11392 12868 12994 14016 17088 18688 19302 19491 22784 25736 25988 28032 34176 37376 38604 38982 45568 51472 51976 56064 68352 77208 77964 102944 103952 112128 136704 154416 155928 205888 207904 234841 286313 308832 311856 411776 415808 469682 572626 617664 623712 704523 823552 831616 858939 939364 1145252 1235328 1247424 1409046 1647104 1663232 1717878 1878728 2290504 2470656 2494848 2818092 3326464 3435756 3757456 4581008 4941312 4989696 5636184 6871512 7514912 9162016 9979392 11272368 13743024 15029824 18324032 20900849 22544736 27486048 30059648 36648064 41801698 45089472 54972096 60119296 62702547 73296128 83603396 90178944 109944192 120238592 125405094 146592256 167206792 180357888 219888384 250810188 334413584 360715776 439776768 501620376 668827168 1003240752 1337654336 2006481504 2675308672 4012963008 5350617344 8025926016 10701234688 16051852032 32103704064