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564320920128 = 263738569013
BaseRepresentation
bin10000011011001000010…
…01011110001001000000
31222221121111101000002120
420031210021132021000
533221212123421003
61111125003444240
755525253451000
oct10154411361100
91887544330076
10564320920128
111a83664a1829
1291451b26680
13412a4b40624
141d4558c8000
15ea2c89d853
hex836425e240

564320920128 has 112 divisors (see below), whose sum is σ = 1741223644800. Its totient is φ = 161234529792.

The previous prime is 564320920123. The next prime is 564320920139. The reversal of 564320920128 is 821029023465.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×5643209201282 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 564320920128.

It is not an unprimeable number, because it can be changed into a prime (564320920123) 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, 4218651 + ... + 4350362.

Almost surely, 2564320920128 is an apocalyptic number.

It is an amenable number.

564320920128 is an abundant number, since it is smaller than the sum of its proper divisors (1176902724672).

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

564320920128 is an equidigital number, since it uses as much as digits as its factorization.

564320920128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8569049 (or 8569025 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 564320920128 in words is "five hundred sixty-four billion, three hundred twenty million, nine hundred twenty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 343 392 448 588 672 686 784 1029 1176 1344 1372 1568 2058 2352 2744 3136 4116 4704 5488 8232 9408 10976 16464 21952 32928 65856 8569013 17138026 25707039 34276052 51414078 59983091 68552104 102828156 119966182 137104208 179949273 205656312 239932364 274208416 359898546 411312624 419881637 479864728 548416832 719797092 822625248 839763274 959729456 1259644911 1439594184 1645250496 1679526548 1919458912 2519289822 2879188368 2939171459 3359053096 3838917824 5038579644 5758376736 5878342918 6718106192 8817514377 10077159288 11516753472 11756685836 13436212384 17635028754 20154318576 23513371672 26872424768 35270057508 40308637152 47026743344 70540115016 80617274304 94053486688 141080230032 188106973376 282160460064 564320920128