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19193809120 = 25519232111301
BaseRepresentation
bin10001111000000010…
…100100100011100000
31211112122112112021021
4101320002210203200
5303302103342440
612452325535224
71246432454113
oct217002444340
954478475237
1019193809120
11815a44a972
123877b74514
131a6b667c05
14d011c857a
157750be84a
hex4780a48e0

19193809120 has 192 divisors, whose sum is σ = 50081794560. Its totient is φ = 6918912000.

The previous prime is 19193809057. The next prime is 19193809127. The reversal of 19193809120 is 2190839191.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19193809127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14752470 + ... + 14753770.

It is an arithmetic number, because the mean of its divisors is an integer number (260842680).

Almost surely, 219193809120 is an apocalyptic number.

19193809120 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 19193809120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25040897280).

19193809120 is an abundant number, since it is smaller than the sum of its proper divisors (30887985440).

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

19193809120 is a wasteful number, since it uses less digits than its factorization.

19193809120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 43.

The spelling of 19193809120 in words is "nineteen billion, one hundred ninety-three million, eight hundred nine thousand, one hundred twenty".