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66930253344 = 253425821857
BaseRepresentation
bin111110010101010110…
…101001111000100000
320101202111002011010000
4332111112221320200
52044033121101334
650425231340000
74556410523643
oct762526517040
9211674064100
1066930253344
1126426423a69
1210b7a981600
136408482a06
14334d055a5a
151b1ad91299
hexf955a9e20

66930253344 has 60 divisors (see below), whose sum is σ = 196840023534. Its totient is φ = 22310083584.

The previous prime is 66930253343. The next prime is 66930253349. The reversal of 66930253344 is 44335203966.

66930253344 is a `hidden beast` number, since 6 + 6 + 9 + 302 + 5 + 334 + 4 = 666.

66930253344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 42033200400 + 24897052944 = 205020^2 + 157788^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 66930253344.

It is not an unprimeable number, because it can be changed into a prime (66930253343) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 12908337 + ... + 12913520.

Almost surely, 266930253344 is an apocalyptic number.

It is an amenable number.

66930253344 is an abundant number, since it is smaller than the sum of its proper divisors (129909770190).

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

66930253344 is a wasteful number, since it uses less digits than its factorization.

66930253344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25821879 (or 25821862 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 66930253344 in words is "sixty-six billion, nine hundred thirty million, two hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 25821857 51643714 77465571 103287428 154931142 206574856 232396713 309862284 413149712 464793426 619724568 697190139 826299424 929586852 1239449136 1394380278 1859173704 2091570417 2478898272 2788760556 3718347408 4183140834 5577521112 7436694816 8366281668 11155042224 16732563336 22310084448 33465126672 66930253344