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83137223457 = 3276112138593
BaseRepresentation
bin100110101101101011…
…1010101101100100001
321221120222100112112100
41031123113111230201
52330231112122312
6102105343121013
76002134511451
oct1153327255441
9257528315470
1083137223457
1132292882542
12141425a3169
137abc093962
1440496a1d61
152268b1b5dc
hex135b5d5b21

83137223457 has 12 divisors (see below), whose sum is σ = 120244912164. Its totient is φ = 55351979520.

The previous prime is 83137223431. The next prime is 83137223459. The reversal of 83137223457 is 75432273138.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2649263841 + 80487959616 = 51471^2 + 283704^2 .

It is not a de Polignac number, because 83137223457 - 220 = 83136174881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83137223459) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6062448 + ... + 6076145.

It is an arithmetic number, because the mean of its divisors is an integer number (10020409347).

Almost surely, 283137223457 is an apocalyptic number.

It is an amenable number.

83137223457 is a deficient number, since it is larger than the sum of its proper divisors (37107688707).

83137223457 is a wasteful number, since it uses less digits than its factorization.

83137223457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12139360 (or 12139357 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The spelling of 83137223457 in words is "eighty-three billion, one hundred thirty-seven million, two hundred twenty-three thousand, four hundred fifty-seven".

Divisors: 1 3 9 761 2283 6849 12138593 36415779 109247337 9237469273 27712407819 83137223457