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66954087252 = 223213143064289
BaseRepresentation
bin111110010110110001…
…100100101101010100
320101211010221001002100
4332112301210231110
52044110221243002
650431442242100
74560120231363
oct762661445524
9211733831070
1066954087252
1126438922808
1210b86956330
1364103a9210
14335229b7da
151b1ceed11c
hexf96c64b54

66954087252 has 36 divisors (see below), whose sum is σ = 182263905460. Its totient is φ = 20601257472.

The previous prime is 66954087247. The next prime is 66954087253. The reversal of 66954087252 is 25278045966.

It can be written as a sum of positive squares in 2 ways, for example, as 15049400976 + 51904686276 = 122676^2 + 227826^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66954087253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71531677 + ... + 71532612.

Almost surely, 266954087252 is an apocalyptic number.

It is an amenable number.

66954087252 is an abundant number, since it is smaller than the sum of its proper divisors (115309818208).

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

66954087252 is a wasteful number, since it uses less digits than its factorization.

66954087252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143064312 (or 143064307 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 66954087252 in words is "sixty-six billion, nine hundred fifty-four million, eighty-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 143064289 286128578 429192867 572257156 858385734 1287578601 1716771468 1859835757 2575157202 3719671514 5150314404 5579507271 7439343028 11159014542 16738521813 22318029084 33477043626 66954087252