Search a number
-
+
11396060968320 = 27355711639001
BaseRepresentation
bin1010010111010101101000…
…1010100111010110000000
31111100110020002020111200000
42211311122022213112000
52443203113101441240
640123140024400000
72254224004650060
oct245653212472600
944313202214600
1011396060968320
1136a405135a526
121340771916000
1364884a969602
142b58025353a0
1514b687372430
hexa5d5a2a7580

11396060968320 has 768 divisors, whose sum is σ = 46684723438080. Its totient is φ = 2602285056000.

The previous prime is 11396060968307. The next prime is 11396060968337. The reversal of 11396060968320 is 2386906069311.

11396060968320 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 6 + 0 + 609 + 6 + 8 + 3 + 20 = 666.

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

It is a congruent number.

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, 1266083820 + ... + 1266092820.

It is an arithmetic number, because the mean of its divisors is an integer number (60787400310).

Almost surely, 211396060968320 is an apocalyptic number.

11396060968320 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 11396060968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23342361719040).

11396060968320 is an abundant number, since it is smaller than the sum of its proper divisors (35288662469760).

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

11396060968320 is an equidigital number, since it uses as much as digits as its factorization.

11396060968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10205 (or 10181 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 11396060968320 in words is "eleven trillion, three hundred ninety-six billion, sixty million, nine hundred sixty-eight thousand, three hundred twenty".