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64471303744 = 2617218672
BaseRepresentation
bin111100000010110010…
…100000011001000000
320011102010010120101121
4330002302200121000
52024014123204434
645341231442024
74441442016451
oct740262403100
9204363116347
1064471303744
1125384408811
12105b3386314
136105bc7253
14319864d128
151a250737b4
hexf02ca0640

64471303744 has 63 divisors (see below), whose sum is σ = 135976359873. Its totient is φ = 30323186688.

The previous prime is 64471303739. The next prime is 64471303777. The reversal of 64471303744 is 44730317446.

The square root of 64471303744 is 253912.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 50193921600 + 14277382144 = 224040^2 + 119488^2 .

It is a super-2 number, since 2×644713037442 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 64471303744.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34531099 + ... + 34532965.

Almost surely, 264471303744 is an apocalyptic number.

64471303744 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

64471303744 is the 253912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64471303744

64471303744 is an abundant number, since it is smaller than the sum of its proper divisors (71505056129).

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

64471303744 is an frugal number, since it uses more digits than its factorization.

64471303744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3780 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 43.

The spelling of 64471303744 in words is "sixty-four billion, four hundred seventy-one million, three hundred three thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 1867 2312 3734 4624 7468 9248 14936 18496 29872 31739 59744 63478 119488 126956 253912 507824 539563 1015648 1079126 2031296 2158252 3485689 4316504 6971378 8633008 13942756 17266016 27885512 34532032 55771024 59256713 111542048 118513426 223084096 237026852 474053704 948107408 1007364121 1896214816 2014728242 3792429632 4029456484 8058912968 16117825936 32235651872 64471303744