Search a number
-
+
15944793072 = 24313241191251
BaseRepresentation
bin11101101100110001…
…00011101111110000
31112011012221102010120
432312120203233300
5230123331334242
611154104130240
71103061335115
oct166630435760
945135842116
1015944793072
11684246903a
12310ba66980
1316714c6b00
14ab38c090c
15634c3d1ec
hex3b6623bf0

15944793072 has 240 divisors, whose sum is σ = 46113048576. Its totient is φ = 4742400000.

The previous prime is 15944793071. The next prime is 15944793089. The reversal of 15944793072 is 27039744951.

It is a happy number.

It is a super-2 number, since 2×159447930722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15944793071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63524947 + ... + 63525197.

Almost surely, 215944793072 is an apocalyptic number.

15944793072 is a gapful number since it is divisible by the number (12) 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 15944793072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23056524288).

15944793072 is an abundant number, since it is smaller than the sum of its proper divisors (30168255504).

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

15944793072 is a wasteful number, since it uses less digits than its factorization.

15944793072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 15944793072 in words is "fifteen billion, nine hundred forty-four million, seven hundred ninety-three thousand, seventy-two".