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83148684138 = 23313118445419
BaseRepresentation
bin100110101110000001…
…1000011101101101010
321221121202220210122000
41031130003003231222
52330242030343023
6102110432511430
76002334103512
oct1153403035552
9257552823560
1083148684138
11322992a0083
12141463ab576
137ac1577320
14404b006842
152269b32243
hex135c0c3b6a

83148684138 has 32 divisors (see below), whose sum is σ = 198988305600. Its totient is φ = 25584210288.

The previous prime is 83148684109. The next prime is 83148684149.

83148684138 is a `hidden beast` number, since 83 + 1 + 486 + 84 + 1 + 3 + 8 = 666.

83148684138 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59222008 + ... + 59223411.

It is an arithmetic number, because the mean of its divisors is an integer number (6218384550).

Almost surely, 283148684138 is an apocalyptic number.

83148684138 is an abundant number, since it is smaller than the sum of its proper divisors (115839621462).

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

83148684138 is a wasteful number, since it uses less digits than its factorization.

83148684138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118445443 (or 118445437 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The spelling of 83148684138 in words is "eighty-three billion, one hundred forty-eight million, six hundred eighty-four thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 118445419 236890838 355336257 710672514 1066008771 1539790447 2132017542 3079580894 3198026313 4619371341 6396052626 9238742682 13858114023 27716228046 41574342069 83148684138