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328075920705696 = 25389333111527589
BaseRepresentation
bin100101010011000100010000…
…0101101101000100010100000
31121000121202021222222221120220
41022212020200231220202200
5321000143441200040241
63121431555230403040
7126050463104052432
oct11246104055504240
91530552258887526
10328075920705696
1195598242353669
123096738a060480
131110a57124bca7
145b02d603d6652
1527de01a93e166
hex12a6220b688a0

328075920705696 has 96 divisors (see below), whose sum is σ = 871137209678400. Its totient is φ = 108097420400640.

The previous prime is 328075920705653. The next prime is 328075920705719. The reversal of 328075920705696 is 696507029570823.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 328075920705696.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22696270 + ... + 34223858.

It is an arithmetic number, because the mean of its divisors is an integer number (9074345934150).

Almost surely, 2328075920705696 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 328075920705696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435568604839200).

328075920705696 is an abundant number, since it is smaller than the sum of its proper divisors (543061288972704).

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

328075920705696 is a wasteful number, since it uses less digits than its factorization.

328075920705696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11531022 (or 11531014 counting only the distinct ones).

The product of its (nonzero) digits is 342921600, while the sum is 69.

The spelling of 328075920705696 in words is "three hundred twenty-eight trillion, seventy-five billion, nine hundred twenty million, seven hundred five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1424 2136 2848 3331 4272 6662 8544 9993 13324 19986 26648 39972 53296 79944 106592 159888 296459 319776 592918 889377 1185836 1778754 2371672 3557508 4743344 7115016 9486688 11527589 14230032 23055178 28460064 34582767 46110356 69165534 92220712 138331068 184441424 276662136 368882848 553324272 1025955421 1106648544 2051910842 3077866263 4103821684 6155732526 8207643368 12311465052 16415286736 24622930104 32830573472 38398398959 49245860208 76796797918 98491720416 115195196877 153593595836 230390393754 307187191672 460780787508 614374383344 921561575016 1228748766688 1843123150032 3417457507351 3686246300064 6834915014702 10252372522053 13669830029404 20504745044106 27339660058808 41009490088212 54679320117616 82018980176424 109358640235232 164037960352848 328075920705696