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19730148000 = 2535373101223
BaseRepresentation
bin10010011000000000…
…100010101010100000
31212221000202100220020
4102120000202222200
5310401404214000
613021445313440
71265634330243
oct223000425240
955830670806
1019730148000
118405177242
1239a7705880
131b258042b4
14d5251d25a
157a7214ba0
hex498022aa0

19730148000 has 384 divisors, whose sum is σ = 66466842624. Its totient is φ = 5114880000.

The previous prime is 19730147971. The next prime is 19730148019. The reversal of 19730148000 is 84103791.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88475889 + ... + 88476111.

It is an arithmetic number, because the mean of its divisors is an integer number (173090736).

Almost surely, 219730148000 is an apocalyptic number.

19730148000 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 19730148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33233421312).

19730148000 is an abundant number, since it is smaller than the sum of its proper divisors (46736694624).

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

19730148000 is a wasteful number, since it uses less digits than its factorization.

19730148000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 19730148000 in words is "nineteen billion, seven hundred thirty million, one hundred forty-eight thousand".