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3103642656 = 2535399131
BaseRepresentation
bin1011100011111101…
…1101010000100000
322000022001101100000
42320333131100200
522324013031111
61231545500000
7136624345602
oct27077352040
98008041300
103103642656
111352a1a734
127274a1600
133a600205a
142162a5172
15132717c56
hexb8fdd420

3103642656 has 72 divisors (see below), whose sum is σ = 9152895024. Its totient is φ = 1034544960.

The previous prime is 3103642651. The next prime is 3103642679. The reversal of 3103642656 is 6562463013.

3103642656 is a `hidden beast` number, since 3 + 1 + 0 + 3 + 642 + 6 + 5 + 6 = 666.

3103642656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×31036426562 = 19265195472285468672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3103642656.

It is not an unprimeable number, because it can be changed into a prime (3103642651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191790 + ... + 207341.

It is an arithmetic number, because the mean of its divisors is an integer number (127123542).

Almost surely, 23103642656 is an apocalyptic number.

3103642656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3103642656 is an abundant number, since it is smaller than the sum of its proper divisors (6049252368).

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

3103642656 is an equidigital number, since it uses as much as digits as its factorization.

3103642656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399156 (or 399136 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3103642656 is about 55710.3460409285. The cubic root of 3103642656 is about 1458.6706257986.

The spelling of 3103642656 in words is "three billion, one hundred three million, six hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 399131 798262 1197393 1596524 2394786 3193048 3592179 4789572 6386096 7184358 9579144 10776537 12772192 14368716 19158288 21553074 28737432 32329611 38316576 43106148 57474864 64659222 86212296 96988833 114949728 129318444 172424592 193977666 258636888 344849184 387955332 517273776 775910664 1034547552 1551821328 3103642656