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83304967876 = 221321726532
BaseRepresentation
bin100110110010101011…
…1001110111011000100
321222000122222211121121
41031211113032323010
52331102032433001
6102134134323324
76006242354314
oct1154527167304
9258018884547
1083304967876
1132369534399
121418a7b9544
137b17a66400
144063a89444
1522787036a1
hex13655ceec4

83304967876 has 81 divisors (see below), whose sum is σ = 167949784821. Its totient is φ = 36131357184.

The previous prime is 83304967873. The next prime is 83304967877. The reversal of 83304967876 is 67876940338.

The square root of 83304967876 is 288626.

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

It can be written as a sum of positive squares in 13 ways, for example, as 70177308100 + 13127659776 = 264910^2 + 114576^2 .

It is not an unprimeable number, because it can be changed into a prime (83304967873) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 127572366 + ... + 127573018.

Almost surely, 283304967876 is an apocalyptic number.

83304967876 is the 288626-th square number.

It is an amenable number.

83304967876 is an abundant number, since it is smaller than the sum of its proper divisors (84644816945).

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

83304967876 is a wasteful number, since it uses less digits than its factorization.

83304967876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 61.

The spelling of 83304967876 in words is "eighty-three billion, three hundred four million, nine hundred sixty-seven thousand, eight hundred seventy-six".

Divisors: 1 2 4 13 17 26 34 52 68 169 221 289 338 442 578 653 676 884 1156 1306 2612 2873 3757 5746 7514 8489 11101 11492 15028 16978 22202 33956 44404 48841 97682 110357 144313 188717 195364 220714 288626 377434 426409 441428 577252 754868 852818 1705636 1876069 2453321 3752138 4906642 5543317 7248953 7504276 9813284 11086634 14497906 22173268 28995812 31893173 63786346 72063121 94236389 123232201 127572692 144126242 188472778 246464402 288252484 376945556 492928804 1225073057 1602018613 2450146114 3204037226 4900292228 6408074452 20826241969 41652483938 83304967876