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19231902144 = 26337131941157
BaseRepresentation
bin10001111010010011…
…111000100111000000
31211122022012212002000
4101322103320213000
5303341331332034
612500210224000
71250404320360
oct217223704700
954568185060
1019231902144
1181799a8804
123888885000
131a76514770
14d062a29a0
157785e6599
hex47a4f89c0

19231902144 has 896 divisors, whose sum is σ = 75512371200. Its totient is φ = 4658135040.

The previous prime is 19231902139. The next prime is 19231902161. The reversal of 19231902144 is 44120913291.

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

It is a junction number, because it is equal to n+sod(n) for n = 19231902099 and 19231902108.

It is a congruent number.

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, 122496114 + ... + 122496270.

It is an arithmetic number, because the mean of its divisors is an integer number (84277200).

Almost surely, 219231902144 is an apocalyptic number.

19231902144 is a gapful number since it is divisible by the number (14) 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 19231902144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37756185600).

19231902144 is an abundant number, since it is smaller than the sum of its proper divisors (56280469056).

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

19231902144 is a wasteful number, since it uses less digits than its factorization.

19231902144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 19231902144 in words is "nineteen billion, two hundred thirty-one million, nine hundred two thousand, one hundred forty-four".