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19932437070 = 2355721379163
BaseRepresentation
bin10010100100000100…
…001101101001001110
31220110010101201100000
4102210010031221032
5311310200441240
613053513145130
71303641630300
oct224404155116
956403351300
1019932437070
1184a9382a97
123a433bb1a6
131b586b0480
14d71339970
157b9d72430
hex4a410da4e

19932437070 has 576 divisors, whose sum is σ = 68597867520. Its totient is φ = 4126816512.

The previous prime is 19932437069. The next prime is 19932437089. The reversal of 19932437070 is 7073423991.

19932437070 is a `hidden beast` number, since 199 + 3 + 24 + 370 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 122284809 + ... + 122284971.

It is an arithmetic number, because the mean of its divisors is an integer number (119093520).

Almost surely, 219932437070 is an apocalyptic number.

19932437070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19932437070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34298933760).

19932437070 is an abundant number, since it is smaller than the sum of its proper divisors (48665430450).

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

19932437070 is a wasteful number, since it uses less digits than its factorization.

19932437070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 19932437070 in words is "nineteen billion, nine hundred thirty-two million, four hundred thirty-seven thousand, seventy".