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11374857216 = 21035172689
BaseRepresentation
bin10101001011111111…
…01000110000000000
31002100201210121200000
422211333220300000
5141243430412331
65120414400000
7551610456012
oct124577506000
932321717600
1011374857216
1149078a0648
122255500000
1310c37a4a58
1479c9ac1b2
154689380e6
hex2a5fe8c00

11374857216 has 264 divisors, whose sum is σ = 36078129360. Its totient is φ = 3567255552.

The previous prime is 11374857211. The next prime is 11374857217. The reversal of 11374857216 is 61275847311.

11374857216 is a `hidden beast` number, since 1 + 1 + 3 + 74 + 8 + 572 + 1 + 6 = 666.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (11374857211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4228800 + ... + 4231488.

Almost surely, 211374857216 is an apocalyptic number.

11374857216 is a gapful number since it is divisible by the number (16) 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 11374857216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18039064680).

11374857216 is an abundant number, since it is smaller than the sum of its proper divisors (24703272144).

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

11374857216 is an equidigital number, since it uses as much as digits as its factorization.

11374857216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741 (or 2711 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The spelling of 11374857216 in words is "eleven billion, three hundred seventy-four million, eight hundred fifty-seven thousand, two hundred sixteen".