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66930553332 = 223261710332917
BaseRepresentation
bin111110010101010111…
…110011000111110100
320101202111122101121200
4332111113303013310
52044033210201312
650425242012500
74556413213356
oct762527630764
9211674571550
1066930553332
1126426609395
1210b7aaa7130
136408559416
14334d0d30d6
151b1ae000dc
hexf955f31f4

66930553332 has 72 divisors (see below), whose sum is σ = 169681968456. Its totient is φ = 22244834304.

The previous prime is 66930553331. The next prime is 66930553343. The reversal of 66930553332 is 23335503966.

66930553332 is a `hidden beast` number, since 6 + 6 + 9 + 305 + 5 + 3 + 332 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31693256676 + 35237296656 = 178026^2 + 187716^2 .

It is a super-3 number, since 3×669305533323 (a number of 33 digits) contains 333 as substring.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66930553331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22943538 + ... + 22946454.

Almost surely, 266930553332 is an apocalyptic number.

It is an amenable number.

66930553332 is an abundant number, since it is smaller than the sum of its proper divisors (102751415124).

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

66930553332 is a wasteful number, since it uses less digits than its factorization.

66930553332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4577 (or 4572 counting only the distinct ones).

The product of its (nonzero) digits is 1312200, while the sum is 45.

The spelling of 66930553332 in words is "sixty-six billion, nine hundred thirty million, five hundred fifty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 617 1033 1234 1851 2066 2468 2917 3099 3702 4132 5553 5834 6198 7404 8751 9297 11106 11668 12396 17502 18594 22212 26253 35004 37188 52506 105012 637361 1274722 1799789 1912083 2549444 3013261 3599578 3824166 5399367 5736249 6026522 7199156 7648332 9039783 10798734 11472498 12053044 16198101 18079566 21597468 22944996 27119349 32396202 36159132 54238698 64792404 108477396 1859182037 3718364074 5577546111 7436728148 11155092222 16732638333 22310184444 33465276666 66930553332