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83218402576 = 2441217592
BaseRepresentation
bin100110110000000110…
…1000000110100010000
321221210122002212100101
41031200031000310100
52330412402340301
6102121403102144
76004141515331
oct1154015006420
9257718085311
1083218402576
1132324689621
1214165811954
137b02b4793a
144056394288
152270d04701
hex1360340d10

83218402576 has 45 divisors (see below), whose sum is σ = 165358155333. Its totient is φ = 40571264640.

The previous prime is 83218402571. The next prime is 83218402609. The reversal of 83218402576 is 67520481238.

The square root of 83218402576 is 288476.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4009928976 + 79208473600 = 63324^2 + 281440^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83218402571) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 47309185 + ... + 47310943.

Almost surely, 283218402576 is an apocalyptic number.

83218402576 is the 288476-th square number.

It is an amenable number.

83218402576 is a deficient number, since it is larger than the sum of its proper divisors (82139752757).

83218402576 is an frugal number, since it uses more digits than its factorization.

83218402576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3608 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 83218402576 in words is "eighty-three billion, two hundred eighteen million, four hundred two thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 41 82 164 328 656 1681 1759 3362 3518 6724 7036 13448 14072 26896 28144 72119 144238 288476 576952 1153904 2956879 3094081 5913758 6188162 11827516 12376324 23655032 24752648 47310064 49505296 126857321 253714642 507429284 1014858568 2029717136 5201150161 10402300322 20804600644 41609201288 83218402576