Search a number
-
+
15531791040 = 263353315431
BaseRepresentation
bin11100111011100010…
…00101001011000000
31111002102210201212000
432131301011023000
5223302114303130
611045112104000
71056615021423
oct163561051300
944072721760
1015531791040
116650322547
123015695000
131606a823cc
14a74ad39ba
1560d85c260
hex39dc452c0

15531791040 has 224 divisors, whose sum is σ = 54968363520. Its totient is φ = 4128537600.

The previous prime is 15531791017. The next prime is 15531791057. The reversal of 15531791040 is 4019713551.

It is a happy number.

15531791040 is a `hidden beast` number, since 1 + 5 + 531 + 79 + 10 + 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 = 15531790986 and 15531791004.

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, 2857125 + ... + 2862555.

It is an arithmetic number, because the mean of its divisors is an integer number (245394480).

Almost surely, 215531791040 is an apocalyptic number.

15531791040 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 15531791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27484181760).

15531791040 is an abundant number, since it is smaller than the sum of its proper divisors (39436572480).

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

15531791040 is a wasteful number, since it uses less digits than its factorization.

15531791040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5788 (or 5772 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 15531791040 in words is "fifteen billion, five hundred thirty-one million, seven hundred ninety-one thousand, forty".