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481465040864 = 25173723920163
BaseRepresentation
bin1110000000110011000…
…11010111111111100000
31201000202010102020020112
413000121203113333200
530342020022301424
61005103150430452
746533103215533
oct7003143277740
91630663366215
10481465040864
11176208511355
1279389802428
133652c145132
1419435740a1a
15c7cd80860e
hex70198d7fe0

481465040864 has 48 divisors (see below), whose sum is σ = 1030767707088. Its totient is φ = 220448212992.

The previous prime is 481465040843. The next prime is 481465040869. The reversal of 481465040864 is 468040564184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481465040869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11939954 + ... + 11980209.

It is an arithmetic number, because the mean of its divisors is an integer number (21474327231).

Almost surely, 2481465040864 is an apocalyptic number.

It is an amenable number.

481465040864 is an abundant number, since it is smaller than the sum of its proper divisors (549302666224).

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

481465040864 is a wasteful number, since it uses less digits than its factorization.

481465040864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23920227 (or 23920219 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 50.

The spelling of 481465040864 in words is "four hundred eighty-one billion, four hundred sixty-five million, forty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 37 68 74 136 148 272 296 544 592 629 1184 1258 2516 5032 10064 20128 23920163 47840326 95680652 191361304 382722608 406642771 765445216 813285542 885046031 1626571084 1770092062 3253142168 3540184124 6506284336 7080368248 13012568672 14160736496 15045782527 28321472992 30091565054 60183130108 120366260216 240732520432 481465040864