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10296890496 = 27328938273
BaseRepresentation
bin10011001011011111…
…00001010010000000
3222120121102020022200
421211233201102000
5132042000443441
64421430033200
7513111060624
oct114557412200
928517366280
1010296890496
114404365262
121bb44a8800
13c81369b19
146d9767184
15403ea57b6
hex265be1480

10296890496 has 48 divisors (see below), whose sum is σ = 29630378310. Its totient is φ = 3432296448.

The previous prime is 10296890491. The next prime is 10296890501. The reversal of 10296890496 is 69409869201.

10296890496 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 68 + 90 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (10296890491) and next prime (10296890501).

It can be written as a sum of positive squares in only one way, i.e., 10281960000 + 14930496 = 101400^2 + 3864^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (10296890491) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4467985 + ... + 4470288.

Almost surely, 210296890496 is an apocalyptic number.

10296890496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10296890496 is an abundant number, since it is smaller than the sum of its proper divisors (19333487814).

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

10296890496 is an equidigital number, since it uses as much as digits as its factorization.

10296890496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8938293 (or 8938278 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 10296890496 in words is "ten billion, two hundred ninety-six million, eight hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 8938273 17876546 26814819 35753092 53629638 71506184 80444457 107259276 143012368 160888914 214518552 286024736 321777828 429037104 572049472 643555656 858074208 1144098944 1287111312 1716148416 2574222624 3432296832 5148445248 10296890496