Search a number
-
+
83335010497856 = 2613731372085921
BaseRepresentation
bin10010111100101011110001…
…101100101011010101000000
3101221001202020011110220002222
4102330223301230223111000
541410330100141412411
6453123324133430212
723360520150455315
oct2274536154532500
9357052204426088
1083335010497856
112460a1a7983367
12941aa7249b368
1337665c494ba30
14168161666cd0c
15997b052924db
hex4bcaf1b2b540

83335010497856 has 56 divisors (see below), whose sum is σ = 180528088929384. Its totient is φ = 37935431516160.

The previous prime is 83335010497741. The next prime is 83335010497873. The reversal of 83335010497856 is 65879401053338.

It can be written as a sum of positive squares in 4 ways, for example, as 681747462400 + 82653263035456 = 825680^2 + 9091384^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 685982225 + ... + 686103696.

It is an arithmetic number, because the mean of its divisors is an integer number (3223715873739).

Almost surely, 283335010497856 is an apocalyptic number.

It is an amenable number.

83335010497856 is an abundant number, since it is smaller than the sum of its proper divisors (97193078431528).

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

83335010497856 is a wasteful number, since it uses less digits than its factorization.

83335010497856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372086019 (or 1372086009 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 62.

The spelling of 83335010497856 in words is "eighty-three trillion, three hundred thirty-five billion, ten million, four hundred ninety-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 73 104 146 208 292 416 584 832 949 1168 1898 2336 3796 4672 7592 15184 30368 60736 1372085921 2744171842 5488343684 10976687368 17837116973 21953374736 35674233946 43906749472 71348467892 87813498944 100162272233 142696935784 200324544466 285393871568 400649088932 570787743136 801298177864 1141575486272 1302109539029 1602596355728 2604219078058 3205192711456 5208438156116 6410385422912 10416876312232 20833752624464 41667505248928 83335010497856