Search a number
-
+
16022931840 = 273354572029
BaseRepresentation
bin11101110110000101…
…01000100110000000
31112100122222021101000
432323002220212000
5230303332304330
611205535012000
71105030446666
oct167302504600
945318867330
1016022931840
116882588933
12313206a000
131684754c76
14ac0020c36
1563ba25560
hex3bb0a8980

16022931840 has 256 divisors, whose sum is σ = 56900088000. Its totient is φ = 4261330944.

The previous prime is 16022931829. The next prime is 16022931893. The reversal of 16022931840 is 4813922061.

16022931840 is a `hidden beast` number, since 1 + 602 + 2 + 9 + 3 + 1 + 8 + 40 = 666.

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 = 16022931795 and 16022931804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7895946 + ... + 7897974.

Almost surely, 216022931840 is an apocalyptic number.

16022931840 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 16022931840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28450044000).

16022931840 is an abundant number, since it is smaller than the sum of its proper divisors (40877156160).

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

16022931840 is a wasteful number, since it uses less digits than its factorization.

16022931840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 16022931840 in words is "sixteen billion, twenty-two million, nine hundred thirty-one thousand, eight hundred forty".