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10318570496 = 210134011933
BaseRepresentation
bin10011001110000100…
…01110010000000000
3222122010012200200122
421213002032100000
5132113023223441
64423522435412
7513463254623
oct114702162000
928563180618
1010318570496
114415622813
121bbb802b68
13c859bab20
146dc5abdba
15405d3934b
hex26708e400

10318570496 has 88 divisors (see below), whose sum is σ = 22280677944. Its totient is φ = 4748083200.

The previous prime is 10318570469. The next prime is 10318570511. The reversal of 10318570496 is 69407581301.

It can be written as a sum of positive squares in 4 ways, for example, as 3607684096 + 6710886400 = 60064^2 + 81920^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5337146 + ... + 5339078.

Almost surely, 210318570496 is an apocalyptic number.

10318570496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10318570496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11140338972).

10318570496 is an abundant number, since it is smaller than the sum of its proper divisors (11962107448).

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

10318570496 is a wasteful number, since it uses less digits than its factorization.

10318570496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 10318570496 in words is "ten billion, three hundred eighteen million, five hundred seventy thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 401 416 512 802 832 1024 1604 1664 1933 3208 3328 3866 5213 6416 6656 7732 10426 12832 13312 15464 20852 25129 25664 30928 41704 50258 51328 61856 83408 100516 102656 123712 166816 201032 205312 247424 333632 402064 410624 494848 667264 775133 804128 989696 1334528 1550266 1608256 1979392 2669056 3100532 3216512 5338112 6201064 6433024 10076729 12402128 12866048 20153458 24804256 25732096 40306916 49608512 80613832 99217024 161227664 198434048 322455328 396868096 644910656 793736192 1289821312 2579642624 5159285248 10318570496