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1453646464 = 27113100501
BaseRepresentation
bin101011010100100…
…1110001010000000
310202022021220001221
41112221032022000
510434113141324
6400124404424
751010535224
oct12651161200
93668256057
101453646464
11686600116
123469a6714
131a221284a
14db0b8784
15879400e4
hex56a4e280

1453646464 has 32 divisors (see below), whose sum is σ = 2921593140. Its totient is φ = 720384000.

The previous prime is 1453646443. The next prime is 1453646473. The reversal of 1453646464 is 4646463541.

It can be written as a sum of positive squares in 2 ways, for example, as 1101708864 + 351937600 = 33192^2 + 18760^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×14536464642 = 4226176084599406592, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1453646464.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35787 + ... + 64714.

Almost surely, 21453646464 is an apocalyptic number.

It is an amenable number.

1453646464 is an abundant number, since it is smaller than the sum of its proper divisors (1467946676).

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

1453646464 is a wasteful number, since it uses less digits than its factorization.

1453646464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100628 (or 100616 counting only the distinct ones).

The product of its digits is 829440, while the sum is 43.

The square root of 1453646464 is about 38126.7158826983. The cubic root of 1453646464 is about 1132.7991958989.

The spelling of 1453646464 in words is "one billion, four hundred fifty-three million, six hundred forty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 113 128 226 452 904 1808 3616 7232 14464 100501 201002 402004 804008 1608016 3216032 6432064 11356613 12864128 22713226 45426452 90852904 181705808 363411616 726823232 1453646464