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21963108144 = 243895141177
BaseRepresentation
bin10100011101000110…
…100110111100110000
32002200122110111100210
4110131012212330300
5324440023430034
614031213344120
71405160224155
oct243506467460
962618414323
1021963108144
11935066924a
12430b498040
1320c03060a3
1410c4cda22c
158882928e9
hex51d1a6f30

21963108144 has 40 divisors (see below), whose sum is σ = 57375546480. Its totient is φ = 7238775808.

The previous prime is 21963108143. The next prime is 21963108161. The reversal of 21963108144 is 44180136912.

It is not an unprimeable number, because it can be changed into a prime (21963108143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2566317 + ... + 2574860.

It is an arithmetic number, because the mean of its divisors is an integer number (1434388662).

Almost surely, 221963108144 is an apocalyptic number.

21963108144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21963108144 is an abundant number, since it is smaller than the sum of its proper divisors (35412438336).

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

21963108144 is a wasteful number, since it uses less digits than its factorization.

21963108144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5141277 (or 5141271 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 21963108144 in words is "twenty-one billion, nine hundred sixty-three million, one hundred eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 356 534 712 1068 1424 2136 4272 5141177 10282354 15423531 20564708 30847062 41129416 61694124 82258832 123388248 246776496 457564753 915129506 1372694259 1830259012 2745388518 3660518024 5490777036 7321036048 10981554072 21963108144