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11630828132 = 2271137762429
BaseRepresentation
bin10101101010100000…
…00101101001100100
31010000120110021202022
422311100011221210
5142304443000012
65202041002312
7561136256630
oct126520055144
933016407668
1011630828132
114a29332360
122307183398
131134828131
147c499ddc0
1548114b472
hex2b5405a64

11630828132 has 24 divisors (see below), whose sum is σ = 25376352960. Its totient is φ = 4531491360.

The previous prime is 11630828129. The next prime is 11630828147. The reversal of 11630828132 is 23182803611.

It is a happy number.

It is a super-2 number, since 2×116308281322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11630828092 and 11630828101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18880907 + ... + 18881522.

It is an arithmetic number, because the mean of its divisors is an integer number (1057348040).

Almost surely, 211630828132 is an apocalyptic number.

It is an amenable number.

11630828132 is an abundant number, since it is smaller than the sum of its proper divisors (13745524828).

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

11630828132 is a wasteful number, since it uses less digits than its factorization.

11630828132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37762451 (or 37762449 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The spelling of 11630828132 in words is "eleven billion, six hundred thirty million, eight hundred twenty-eight thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 37762429 75524858 151049716 264337003 415386719 528674006 830773438 1057348012 1661546876 2907707033 5815414066 11630828132