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11676939552 = 2532232989683
BaseRepresentation
bin10101101111111111…
…11111010100100000
31010010210012222201200
422313333333110200
5142403244031202
65210405201200
7562236230355
oct126777772440
933123188650
1011676939552
114a52367573
12231a700200
1311412515b5
147cab6462c
15485208e1c
hex2b7fff520

11676939552 has 288 divisors, whose sum is σ = 36300700800. Its totient is φ = 3549106176.

The previous prime is 11676939551. The next prime is 11676939613. The reversal of 11676939552 is 25593967611.

11676939552 is a `hidden beast` number, since 1 + 16 + 76 + 9 + 3 + 9 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (3061800) is a multiple of the sum of its prime factors (840).

It is not an unprimeable number, because it can be changed into a prime (11676939551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17096203 + ... + 17096885.

It is an arithmetic number, because the mean of its divisors is an integer number (126044100).

Almost surely, 211676939552 is an apocalyptic number.

11676939552 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 11676939552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18150350400).

11676939552 is an abundant number, since it is smaller than the sum of its proper divisors (24623761248).

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

11676939552 is a wasteful number, since it uses less digits than its factorization.

11676939552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 829 counting only the distinct ones).

The product of its digits is 3061800, while the sum is 54.

The spelling of 11676939552 in words is "eleven billion, six hundred seventy-six million, nine hundred thirty-nine thousand, five hundred fifty-two".