Search a number
-
+
15450918912 = 212331113977
BaseRepresentation
bin11100110001111001…
…00101000000000000
31110212210122000011000
432120330211000000
5223120413401122
611033102452000
71054613433552
oct163074450000
943783560130
1015450918912
116609706080
122bb2594000
1315c30a8090
14a680814d2
156066d50ac
hex398f25000

15450918912 has 416 divisors, whose sum is σ = 53832562560. Its totient is φ = 4317511680.

The previous prime is 15450918907. The next prime is 15450918913. The reversal of 15450918912 is 21981905451.

15450918912 is a `hidden beast` number, since 1 + 5 + 450 + 9 + 189 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (416).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15450918913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15814168 + ... + 15815144.

Almost surely, 215450918912 is an apocalyptic number.

15450918912 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 15450918912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26916281280).

15450918912 is an abundant number, since it is smaller than the sum of its proper divisors (38381643648).

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

15450918912 is a wasteful number, since it uses less digits than its factorization.

15450918912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 15450918912 in words is "fifteen billion, four hundred fifty million, nine hundred eighteen thousand, nine hundred twelve".