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19674913440 = 253571319151157
BaseRepresentation
bin10010010100101101…
…110101101010100000
31212210011211011022210
4102110231311222200
5310243234212230
613012153402120
71264364001450
oct222455655240
955704734283
1019674913440
118386a80746
123991109340
131b17235420
14d49061d60
157a2453eb0
hex494b75aa0

19674913440 has 768 divisors, whose sum is σ = 81339310080. Its totient is φ = 3881779200.

The previous prime is 19674913411. The next prime is 19674913477. The reversal of 19674913440 is 4431947691.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 19674913440.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 125317842 + ... + 125317998.

It is an arithmetic number, because the mean of its divisors is an integer number (105910560).

Almost surely, 219674913440 is an apocalyptic number.

19674913440 is a gapful number since it is divisible by the number (10) 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 19674913440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40669655040).

19674913440 is an abundant number, since it is smaller than the sum of its proper divisors (61664396640).

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

19674913440 is a wasteful number, since it uses less digits than its factorization.

19674913440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 19674913440 in words is "nineteen billion, six hundred seventy-four million, nine hundred thirteen thousand, four hundred forty".