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64407434472 = 2334175846717
BaseRepresentation
bin111011111110111110…
…110111010011101000
320011020122221200020000
4323332332313103220
52023401300400342
645331030503000
74440035105613
oct737676672350
9204218850200
1064407434472
1125351354897
1210595b04a60
1360c58c4094
14318dd8517a
151a1e65944c
hexefefb74e8

64407434472 has 80 divisors (see below), whose sum is σ = 191012277060. Its totient is φ = 20206250496.

The previous prime is 64407434467. The next prime is 64407434473. The reversal of 64407434472 is 27443470446.

It can be written as a sum of positive squares in 2 ways, for example, as 50519754756 + 13887679716 = 224766^2 + 117846^2 .

It is not an unprimeable number, because it can be changed into a prime (64407434473) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2912343 + ... + 2934374.

Almost surely, 264407434472 is an apocalyptic number.

It is an amenable number.

64407434472 is an abundant number, since it is smaller than the sum of its proper divisors (126604842588).

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

64407434472 is a wasteful number, since it uses less digits than its factorization.

64407434472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5846752 (or 5846739 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 45.

The spelling of 64407434472 in words is "sixty-four billion, four hundred seven million, four hundred thirty-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2754 3672 5508 11016 5846717 11693434 17540151 23386868 35080302 46773736 52620453 70160604 99394189 105240906 140321208 157861359 198788378 210481812 298182567 315722718 397576756 420963624 473584077 596365134 631445436 795153512 894547701 947168154 1192730268 1262890872 1789095402 1894336308 2385460536 2683643103 3578190804 3788672616 5367286206 7156381608 8050929309 10734572412 16101858618 21469144824 32203717236 64407434472