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11634061443876 = 22341894932
BaseRepresentation
bin1010100101001100010000…
…0110011000001100100100
31112012012112202010100210000
42221103010012120030210
53011103024212201001
640424340344501300
72310350613423414
oct251230406301444
945165482110700
1011634061443876
113785a83427423
12137a91377a830
136651199cc281
142c313d410644
151529669b1a86
hexa94c4198324

11634061443876 has 45 divisors (see below), whose sum is σ = 30413895201921. Its totient is φ = 3878000016048.

The previous prime is 11634061443853. The next prime is 11634061443887. The reversal of 11634061443876 is 67834416043611.

The square root of 11634061443876 is 3410874.

It is a perfect power (a square), and thus also a powerful number.

11634061443876 is a `hidden beast` number, since 1 + 1 + 63 + 4 + 0 + 61 + 443 + 87 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5793023196900 + 5841038246976 = 2406870^2 + 2416824^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 61300986 + ... + 61490478.

Almost surely, 211634061443876 is an apocalyptic number.

11634061443876 is the 3410874-th square number.

It is an amenable number.

11634061443876 is an abundant number, since it is smaller than the sum of its proper divisors (18779833758045).

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

11634061443876 is an frugal number, since it uses more digits than its factorization.

11634061443876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379002 (or 189498 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 11634061443876 in words is "eleven trillion, six hundred thirty-four billion, sixty-one million, four hundred forty-three thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 189493 378986 568479 757972 1136958 1705437 2273916 3410874 5116311 6821748 10232622 15348933 20465244 30697866 61395732 35907597049 71815194098 107722791147 143630388196 215445582294 323168373441 430891164588 646336746882 969505120323 1292673493764 1939010240646 2908515360969 3878020481292 5817030721938 11634061443876