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19902625680 = 24357431372011
BaseRepresentation
bin10010100010010010…
…011111011110010000
31220101001022010210110
4102202102133132100
5311230033010210
613050530201320
71303130345520
oct224222373620
956331263713
1019902625680
118493571283
123a35423240
131b524732b2
14d6b3b9680
157b7434420
hex4a249f790

19902625680 has 320 divisors, whose sum is σ = 72714774528. Its totient is φ = 4408750080.

The previous prime is 19902625651. The next prime is 19902625697. The reversal of 19902625680 is 8652620991.

It is a super-2 number, since 2×199026256802 (a number of 21 digits) contains 22 as substring.

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

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, 9895875 + ... + 9897885.

Almost surely, 219902625680 is an apocalyptic number.

19902625680 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 19902625680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36357387264).

19902625680 is an abundant number, since it is smaller than the sum of its proper divisors (52812148848).

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

19902625680 is a wasteful number, since it uses less digits than its factorization.

19902625680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 19902625680 in words is "nineteen billion, nine hundred two million, six hundred twenty-five thousand, six hundred eighty".