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64311729066 = 232132381115429
BaseRepresentation
bin111011111001010001…
…110001101110101010
320010222222212100002100
4323321101301232222
52023202300312231
645313331314230
74434463451244
oct737121615652
9203888770070
1064311729066
1125302326a12
1210569a4b976
1360abb25270
143181391094
151a160521e6
hexef9471baa

64311729066 has 48 divisors (see below), whose sum is σ = 150125025960. Its totient is φ = 19779742080.

The previous prime is 64311729029. The next prime is 64311729121. The reversal of 64311729066 is 66092711346.

64311729066 is a `hidden beast` number, since 6 + 431 + 1 + 72 + 90 + 66 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12131921025 + 52179808041 = 110145^2 + 228429^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499440 + ... + 614868.

Almost surely, 264311729066 is an apocalyptic number.

64311729066 is an abundant number, since it is smaller than the sum of its proper divisors (85813296894).

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

64311729066 is a wasteful number, since it uses less digits than its factorization.

64311729066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117831 (or 117828 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 64311729066 in words is "sixty-four billion, three hundred eleven million, seven hundred twenty-nine thousand, sixty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 2381 4762 7143 14286 21429 30953 42858 61906 92859 115429 185718 230858 278577 346287 557154 692574 1038861 1500577 2077722 3001154 4501731 9003462 13505193 27010386 274836449 549672898 824509347 1649018694 2473528041 3572873837 4947056082 7145747674 10718621511 21437243022 32155864533 64311729066