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83793346146 = 23231173868019
BaseRepresentation
bin100111000001001111…
…0001111111001100010
322000021200222000122200
41032002132033321202
52333102044034041
6102254422114030
76024322455546
oct1160236177142
9260250860580
1083793346146
113259a1831a4
12142a627b916
137b94cac733
1440ac897a26
1522a65231b6
hex138278fe62

83793346146 has 48 divisors (see below), whose sum is σ = 188492279040. Its totient is φ = 26873837280.

The previous prime is 83793346139. The next prime is 83793346159. The reversal of 83793346146 is 64164339738.

It is a happy number.

83793346146 is a `hidden beast` number, since 83 + 79 + 33 + 461 + 4 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 83793346092 and 83793346101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337476 + ... + 530543.

It is an arithmetic number, because the mean of its divisors is an integer number (3926922480).

Almost surely, 283793346146 is an apocalyptic number.

83793346146 is an abundant number, since it is smaller than the sum of its proper divisors (104698932894).

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

83793346146 is a wasteful number, since it uses less digits than its factorization.

83793346146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868231 (or 868228 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 83793346146 in words is "eighty-three billion, seven hundred ninety-three million, three hundred forty-six thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 31 62 93 173 186 279 346 519 558 1038 1557 3114 5363 10726 16089 32178 48267 96534 868019 1736038 2604057 5208114 7812171 15624342 26908589 53817178 80725767 150167287 161451534 242177301 300334574 450501861 484354602 901003722 1351505583 2703011166 4655185897 9310371794 13965557691 27931115382 41896673073 83793346146