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382457360064 = 26313153228109
BaseRepresentation
bin1011001000011000011…
…11000010111011000000
31100120012002222221000210
411210030033002323000
522231233041010224
6451410512314120
736426435631113
oct5441417027300
91316162887023
10382457360064
1113822123336a
1262158242940
132a0b10b3820
14147223cc57a
159e36784429
hex590c3c2ec0

382457360064 has 56 divisors (see below), whose sum is σ = 1089758318320. Its totient is φ = 117679186944.

The previous prime is 382457360053. The next prime is 382457360093. The reversal of 382457360064 is 460063754283.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 382457359995 and 382457360022.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76611559 + ... + 76616550.

It is an arithmetic number, because the mean of its divisors is an integer number (19459969970).

Almost surely, 2382457360064 is an apocalyptic number.

It is an amenable number.

382457360064 is an abundant number, since it is smaller than the sum of its proper divisors (707300958256).

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

382457360064 is a wasteful number, since it uses less digits than its factorization.

382457360064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153228137 (or 153228127 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 382457360064 in words is "three hundred eighty-two billion, four hundred fifty-seven million, three hundred sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 153228109 306456218 459684327 612912436 919368654 1225824872 1838737308 1991965417 2451649744 3677474616 3983930834 4903299488 5975896251 7354949232 7967861668 9806598976 11951792502 14709898464 15935723336 23903585004 29419796928 31871446672 47807170008 63742893344 95614340016 127485786688 191228680032 382457360064