Search a number
-
+
15097661391240 = 233356723498923
BaseRepresentation
bin1101101110110011001010…
…1111101000000110001000
31222110022200222111002101000
43123230302233220012020
53434330002304004430
652035434144055000
73115525060261551
oct333546257500610
958408628432330
1015097661391240
1148a097829526a
12183a040304460
1385691b38984c
143a2a330d7328
151b2ad1402e60
hexdbb32be8188

15097661391240 has 384 divisors, whose sum is σ = 51240001680000. Its totient is φ = 3954145890816.

The previous prime is 15097661391233. The next prime is 15097661391257. The reversal of 15097661391240 is 4219316679051.

15097661391240 is a `hidden beast` number, since 1 + 5 + 0 + 9 + 7 + 6 + 6 + 1 + 391 + 240 = 666.

15097661391240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1691989419 + ... + 1691998341.

It is an arithmetic number, because the mean of its divisors is an integer number (133437504375).

Almost surely, 215097661391240 is an apocalyptic number.

15097661391240 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 15097661391240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25620000840000).

15097661391240 is an abundant number, since it is smaller than the sum of its proper divisors (36142340288760).

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

15097661391240 is a wasteful number, since it uses less digits than its factorization.

15097661391240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9426 (or 9349 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 15097661391240 in words is "fifteen trillion, ninety-seven billion, six hundred sixty-one million, three hundred ninety-one thousand, two hundred forty".