Search a number
-
+
15500903040 = 273357218307
BaseRepresentation
bin11100110111110110…
…10000001010000000
31111000021200110111000
432123323100022000
5223221212344130
611042050052000
71056061334100
oct163373201200
944007613430
1015500903040
116634945977
12300727a000
13160055919c
14a70973200
1560acaa260
hex39bed0280

15500903040 has 384 divisors, whose sum is σ = 63865627200. Its totient is φ = 3542870016.

The previous prime is 15500903027. The next prime is 15500903051. The reversal of 15500903040 is 4030900551.

15500903040 is a `hidden beast` number, since 1 + 5 + 500 + 90 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 15500902995 and 15500903013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 837567 + ... + 855873.

Almost surely, 215500903040 is an apocalyptic number.

15500903040 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 15500903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31932813600).

15500903040 is an abundant number, since it is smaller than the sum of its proper divisors (48364724160).

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

15500903040 is a wasteful number, since it uses less digits than its factorization.

15500903040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18349 (or 18324 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 15500903040 in words is "fifteen billion, five hundred million, nine hundred three thousand, forty".