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2390313892096 = 2813274332
BaseRepresentation
bin100010110010001001110…
…011110111100100000000
322110111211002021221211201
4202302021303313210000
5303130330324021341
65030032310150544
7334460130563314
oct42621163674400
98414732257751
102390313892096
118417a9970a29
12327313352454
13144537238300
148399847bb44
154229e36d331
hex22c89cf7900

2390313892096 has 81 divisors (see below), whose sum is σ = 5167240640499. Its totient is φ = 1103073374208.

The previous prime is 2390313892037. The next prime is 2390313892117. The reversal of 2390313892096 is 6902983130932.

It is a happy number.

The square root of 2390313892096 is 1546064.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1534466877696 + 855847014400 = 1238736^2 + 925120^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 321577596 + ... + 321585028.

Almost surely, 22390313892096 is an apocalyptic number.

2390313892096 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2390313892096 is the 1546064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2390313892096

2390313892096 is an abundant number, since it is smaller than the sum of its proper divisors (2776926748403).

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

2390313892096 is an frugal number, since it uses more digits than its factorization.

2390313892096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14908 (or 7448 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 55.

The spelling of 2390313892096 in words is "two trillion, three hundred ninety billion, three hundred thirteen million, eight hundred ninety-two thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 832 1352 1664 2704 3328 5408 7433 10816 14866 21632 29732 43264 59464 96629 118928 193258 237856 386516 475712 773032 951424 1256177 1546064 1902848 2512354 3092128 5024708 6184256 10049416 12368512 20098832 24737024 40197664 55249489 80395328 110498978 160790656 220997956 321581312 441995912 718243357 883991824 1436486714 1767983648 2872973428 3535967296 5745946856 7071934592 9337163641 11491893712 14143869184 18674327282 22983787424 37348654564 45967574848 74697309128 91935149696 149394618256 183870299392 298789236512 597578473024 1195156946048 2390313892096