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1356545664 = 2733392519
BaseRepresentation
bin101000011011011…
…0011111010000000
310111112120122211000
41100312303322000
510234233430124
6342335252000
745421306425
oct12066637200
93445518730
101356545664
11636809921
1231a37a000
13188075856
14cc23dd4c
157e15e6c9
hex50db3e80

1356545664 has 64 divisors (see below), whose sum is σ = 4003704000. Its totient is φ = 452180736.

The previous prime is 1356545623. The next prime is 1356545683. The reversal of 1356545664 is 4665456531.

1356545664 is a `hidden beast` number, since 1 + 35 + 6 + 54 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×13565456642 = 3680432277034401792, which contains 22 as substring.

It is a congruent number.

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, 192804 + ... + 199715.

It is an arithmetic number, because the mean of its divisors is an integer number (62557875).

Almost surely, 21356545664 is an apocalyptic number.

It is an amenable number.

1356545664 is an abundant number, since it is smaller than the sum of its proper divisors (2647158336).

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

1356545664 is an equidigital number, since it uses as much as digits as its factorization.

1356545664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392542 (or 392524 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The square root of 1356545664 is about 36831.3136339175. The cubic root of 1356545664 is about 1106.9928246243.

The spelling of 1356545664 in words is "one billion, three hundred fifty-six million, five hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 392519 785038 1177557 1570076 2355114 3140152 3532671 4710228 6280304 7065342 9420456 10598013 12560608 14130684 18840912 21196026 25121216 28261368 37681824 42392052 50242432 56522736 75363648 84784104 113045472 150727296 169568208 226090944 339136416 452181888 678272832 1356545664