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40966171272 = 23321343767277
BaseRepresentation
bin100110001001110001…
…100010101010001000
310220202000002010022200
4212021301202222020
51132344314440042
630453011120200
72650115465445
oct461161425210
9126660063280
1040966171272
11164123768a4
127b335a3060
133b2b2a6b40
141da8a309cc
1510eb734c4c
hex989c62a88

40966171272 has 48 divisors (see below), whose sum is σ = 119484668940. Its totient is φ = 12604975488.

The previous prime is 40966171249. The next prime is 40966171291. The reversal of 40966171272 is 27217166904.

40966171272 is a `hidden beast` number, since 4 + 0 + 9 + 6 + 617 + 1 + 27 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31411890756 + 9554280516 = 177234^2 + 97746^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21882703 + ... + 21884574.

Almost surely, 240966171272 is an apocalyptic number.

It is an amenable number.

40966171272 is an abundant number, since it is smaller than the sum of its proper divisors (78518497668).

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

40966171272 is a wasteful number, since it uses less digits than its factorization.

40966171272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43767302 (or 43767295 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 40966171272 in words is "forty billion, nine hundred sixty-six million, one hundred seventy-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 43767277 87534554 131301831 175069108 262603662 350138216 393905493 525207324 568974601 787810986 1050414648 1137949202 1575621972 1706923803 2275898404 3151243944 3413847606 4551796808 5120771409 6827695212 10241542818 13655390424 20483085636 40966171272