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19970968320 = 283252959779
BaseRepresentation
bin10010100110010111…
…001100101100000000
31220112210220022021100
4102212113030230000
5311400031441240
613101411054400
71304620300302
oct224627145400
956483808240
1019970968320
1185191000a6
123a542a1400
131b63681624
14d764c9972
157bd433e30
hex4a65ccb00

19970968320 has 216 divisors, whose sum is σ = 71481337200. Its totient is φ = 5141864448.

The previous prime is 19970968301. The next prime is 19970968393. The reversal of 19970968320 is 2386907991.

19970968320 is a `hidden beast` number, since 199 + 70 + 9 + 68 + 320 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304191 + ... + 363969.

Almost surely, 219970968320 is an apocalyptic number.

19970968320 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 19970968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35740668600).

19970968320 is an abundant number, since it is smaller than the sum of its proper divisors (51510368880).

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

19970968320 is a wasteful number, since it uses less digits than its factorization.

19970968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59835 (or 59818 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 19970968320 in words is "nineteen billion, nine hundred seventy million, nine hundred sixty-eight thousand, three hundred twenty".