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19988860320 = 253351113219131
BaseRepresentation
bin10010100111011011…
…011100110110100000
31220121001120022111000
4102213123130312200
5311414122012240
613103250352000
71305225336462
oct224733346640
956531508430
1019988860320
118528210680
123a5a28b600
131b672a7400
14d78a26132
157becba430
hex4a76dcda0

19988860320 has 1152 divisors, whose sum is σ = 87657292800. Its totient is φ = 4205260800.

The previous prime is 19988860313. The next prime is 19988860343. The reversal of 19988860320 is 2306888991.

It is a happy number.

19988860320 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 8 + 8 + 603 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 152586655 + ... + 152586785.

It is an arithmetic number, because the mean of its divisors is an integer number (76091400).

Almost surely, 219988860320 is an apocalyptic number.

19988860320 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 19988860320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43828646400).

19988860320 is an abundant number, since it is smaller than the sum of its proper divisors (67668432480).

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

19988860320 is a wasteful number, since it uses less digits than its factorization.

19988860320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 19988860320 in words is "nineteen billion, nine hundred eighty-eight million, eight hundred sixty thousand, three hundred twenty".