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11377966080 = 2103513192999
BaseRepresentation
bin10101001100010110…
…11111110000000000
31002100221122120020010
422212023133300000
5141300224403310
65121005144520
7551646054525
oct124613376000
932327576203
1011377966080
114909624358
12225655b140
1310c4322b10
1479d17b14c
15468d4e320
hex2a62dfc00

11377966080 has 352 divisors, whose sum is σ = 41267520000. Its totient is φ = 2652438528.

The previous prime is 11377966037. The next prime is 11377966087. The reversal of 11377966080 is 8066977311.

It is a happy number.

It is a super-2 number, since 2×113779660802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11377966087) 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, 3792421 + ... + 3795419.

Almost surely, 211377966080 is an apocalyptic number.

11377966080 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 11377966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20633760000).

11377966080 is an abundant number, since it is smaller than the sum of its proper divisors (29889553920).

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

11377966080 is a wasteful number, since it uses less digits than its factorization.

11377966080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The spelling of 11377966080 in words is "eleven billion, three hundred seventy-seven million, nine hundred sixty-six thousand, eighty".