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145620674557857 = 3243259314756689
BaseRepresentation
bin100001000111000011110100…
…100101000011011110100001
3201002121012102012001002011200
4201013003310211003132201
5123041322120141322412
61233413114145231413
742446514031531152
oct4107036445033641
9632535365032150
10145620674557857
1142443421512654
12143ba319332569
136333c807ab945
1427d6114a33929
1511c7ddbb409dc
hex8470f49437a1

145620674557857 has 36 divisors (see below), whose sum is σ = 215709546220740. Its totient is φ = 94662854931456.

The previous prime is 145620674557849. The next prime is 145620674557861. The reversal of 145620674557857 is 758755476026541.

145620674557857 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 2 + 0 + 6 + 7 + 45 + 578 + 5 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39501338130081 + 106119336427776 = 6285009^2 + 10301424^2 .

It is not a de Polignac number, because 145620674557857 - 23 = 145620674557849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145620674557807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2489769 + ... + 17246457.

It is an arithmetic number, because the mean of its divisors is an integer number (5991931839465).

Almost surely, 2145620674557857 is an apocalyptic number.

It is an amenable number.

145620674557857 is a deficient number, since it is larger than the sum of its proper divisors (70088871662883).

145620674557857 is a wasteful number, since it uses less digits than its factorization.

145620674557857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14757374 (or 14757328 counting only the distinct ones).

The product of its (nonzero) digits is 1975680000, while the sum is 72.

The spelling of 145620674557857 in words is "one hundred forty-five trillion, six hundred twenty billion, six hundred seventy-four million, five hundred fifty-seven thousand, eight hundred fifty-seven".

Divisors: 1 3 9 43 129 387 593 1779 1849 5337 5547 16641 25499 76497 229491 1096457 3289371 9868113 14756689 44270067 132810201 634537627 1903612881 5710838643 8750716577 26252149731 27285117961 78756449193 81855353883 245566061649 376280812811 1128842438433 3386527315299 16180074950873 48540224852619 145620674557857