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66325964409 = 32232931418693
BaseRepresentation
bin111101110001010101…
…011110011001111001
320100012101000002112100
4331301111132121321
52041313421330114
650245243334013
74535422252425
oct756125363171
9210171002470
1066325964409
1126146306821
1210a30521309
136340214bb3
1432d2ab3b85
151ad2cc7909
hexf7155e679

66325964409 has 96 divisors (see below), whose sum is σ = 109369128960. Its totient is φ = 38550758400.

The previous prime is 66325964407. The next prime is 66325964431. The reversal of 66325964409 is 90446952366.

66325964409 is a `hidden beast` number, since 6 + 6 + 3 + 2 + 596 + 4 + 40 + 9 = 666.

It is not a de Polignac number, because 66325964409 - 21 = 66325964407 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (66325964407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7625467 + ... + 7634159.

It is an arithmetic number, because the mean of its divisors is an integer number (1139261760).

Almost surely, 266325964409 is an apocalyptic number.

66325964409 is a gapful number since it is divisible by the number (69) formed by its first and last digit.

It is an amenable number.

66325964409 is a deficient number, since it is larger than the sum of its proper divisors (43043164551).

66325964409 is a wasteful number, since it uses less digits than its factorization.

66325964409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8823 (or 8820 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 66325964409 in words is "sixty-six billion, three hundred twenty-five million, nine hundred sixty-four thousand, four hundred nine".

Divisors: 1 3 9 23 29 31 41 69 87 93 123 207 261 279 369 667 713 899 943 1189 1271 2001 2139 2697 2829 3567 3813 6003 6417 8091 8487 8693 10701 11439 20677 26079 27347 29233 36859 62031 78237 82041 87699 110577 186093 199939 246123 252097 263097 269483 331731 356413 599817 756291 808449 847757 1069239 1799451 2268873 2425347 2543271 3207717 5798231 6198109 7629813 7815007 8197499 10335977 11048803 17394693 18594327 23445021 24592497 31007931 33146409 52184079 55782981 70335063 73777491 93023793 99439227 179745161 237727471 254122469 320415287 539235483 713182413 762367407 961245861 1617706449 2139547239 2287102221 2883737583 7369551601 22108654803 66325964409