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456322470942 = 231338915039301
BaseRepresentation
bin1101010001111101111…
…00000101010000011110
31121121211220020100021010
412220332330011100132
524434022023032232
6545344234120050
744653045001442
oct6507674052036
91547756210233
10456322470942
11166586158448
1274531580026
1334053211920
141812c484822
15bd0b3730cc
hex6a3ef0541e

456322470942 has 32 divisors (see below), whose sum is σ = 985375067040. Its totient is φ = 140045961600.

The previous prime is 456322470889. The next prime is 456322470943. The reversal of 456322470942 is 249074223654.

456322470942 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4563224709422 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 456322470891 and 456322470900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456322470943) 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, 7489309 + ... + 7549992.

It is an arithmetic number, because the mean of its divisors is an integer number (30792970845).

Almost surely, 2456322470942 is an apocalyptic number.

456322470942 is an abundant number, since it is smaller than the sum of its proper divisors (529052596098).

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

456322470942 is a wasteful number, since it uses less digits than its factorization.

456322470942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15039708.

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

The spelling of 456322470942 in words is "four hundred fifty-six billion, three hundred twenty-two million, four hundred seventy thousand, nine hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 389 778 1167 2334 5057 10114 15171 30342 15039301 30078602 45117903 90235806 195510913 391021826 586532739 1173065478 5850288089 11700576178 17550864267 35101728534 76053745157 152107490314 228161235471 456322470942