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20192860440 = 23335171139733
BaseRepresentation
bin10010110011100101…
…101001100100011000
31221010021102121001000
4102303211221210120
5312323333013230
613135415025000
71313253324144
oct226345514430
957107377030
1020192860440
118622385a15
123ab666b160
131b9a63233c
14d97b6a224
157d2b64b60
hex4b3969918

20192860440 has 256 divisors, whose sum is σ = 71907004800. Its totient is φ = 5022646272.

The previous prime is 20192860433. The next prime is 20192860477. The reversal of 20192860440 is 4406829102.

20192860440 is a `hidden beast` number, since 2 + 0 + 1 + 9 + 2 + 8 + 604 + 40 = 666.

It is a super-2 number, since 2×201928604402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20192860395 and 20192860404.

It is a congruent number.

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, 2069814 + ... + 2079546.

Almost surely, 220192860440 is an apocalyptic number.

20192860440 is a gapful number since it is divisible by the number (20) 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 20192860440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35953502400).

20192860440 is an abundant number, since it is smaller than the sum of its proper divisors (51714144360).

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

20192860440 is a wasteful number, since it uses less digits than its factorization.

20192860440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9883 (or 9873 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 20192860440 in words is "twenty billion, one hundred ninety-two million, eight hundred sixty thousand, four hundred forty".