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3120808896 = 263211294799
BaseRepresentation
bin1011101000000011…
…1100001111000000
322001111100111222200
42322000330033000
522342411341041
61233401433200
7140223303132
oct27200741700
98044314880
103120808896
111361684a07
1273119b800
133a97326aa
14218693052
15133ea91b6
hexba03c3c0

3120808896 has 84 divisors (see below), whose sum is σ = 8955024000. Its totient is φ = 1039131648.

The previous prime is 3120808853. The next prime is 3120808907. The reversal of 3120808896 is 6988080213.

It is a zygodrome in base 3.

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, 647905 + ... + 652703.

Almost surely, 23120808896 is an apocalyptic number.

3120808896 is a gapful number since it is divisible by the number (36) 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 3120808896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4477512000).

3120808896 is an abundant number, since it is smaller than the sum of its proper divisors (5834215104).

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

3120808896 is a wasteful number, since it uses less digits than its factorization.

3120808896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5946 (or 5933 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 3120808896 is about 55864.2004865370. The cubic root of 3120808896 is about 1461.3549840358.

The spelling of 3120808896 in words is "three billion, one hundred twenty million, eight hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1129 2258 3387 4516 4799 6774 9032 9598 10161 13548 14397 18064 19196 20322 27096 28794 36128 38392 40644 43191 54192 57588 72256 76784 81288 86382 108384 115176 153568 162576 172764 216768 230352 307136 325152 345528 460704 650304 691056 921408 1382112 2764224 5418071 10836142 16254213 21672284 32508426 43344568 48762639 65016852 86689136 97525278 130033704 173378272 195050556 260067408 346756544 390101112 520134816 780202224 1040269632 1560404448 3120808896