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92480834368 = 261338112
BaseRepresentation
bin101011000100001001…
…0011000101101000000
322211201011000011002201
41112020102120231000
53003400043144433
6110252441122544
76452522056546
oct1261022305500
9284634004081
1092480834368
113624802472a
1215b0b789454
13894aaa1000
14469459dd96
15261406da7d
hex1588498b40

92480834368 has 84 divisors (see below), whose sum is σ = 199048184580. Its totient is φ = 42630831360.

The previous prime is 92480834357. The next prime is 92480834401. The reversal of 92480834368 is 86343808429.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 3409625664 + 89071208704 = 58392^2 + 298448^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114032683 + ... + 114033493.

It is an arithmetic number, because the mean of its divisors is an integer number (2369621245).

Almost surely, 292480834368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92480834368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99524092290).

92480834368 is an abundant number, since it is smaller than the sum of its proper divisors (106567350212).

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

92480834368 is an frugal number, since it uses more digits than its factorization.

92480834368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 55.

The spelling of 92480834368 in words is "ninety-two billion, four hundred eighty million, eight hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 811 832 1352 1622 2197 2704 3244 4394 5408 6488 8788 10543 10816 12976 17576 21086 25952 35152 42172 51904 70304 84344 137059 140608 168688 274118 337376 548236 657721 674752 1096472 1315442 1781767 2192944 2630884 3563534 4385888 5261768 7127068 8550373 8771776 10523536 14254136 17100746 21047072 28508272 34201492 42094144 57016544 68402984 111154849 114033088 136805968 222309698 273611936 444619396 547223872 889238792 1445013037 1778477584 2890026074 3556955168 5780052148 7113910336 11560104296 23120208592 46240417184 92480834368