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11872127384 = 23131815471153
BaseRepresentation
bin10110000111010001…
…00100100110011000
31010122101111120002122
423003220210212120
5143303231034014
65242020520412
7600126263165
oct130350444630
933571446078
1011872127384
115042563027
122373b50108
131172812460
14808a5306c
1549741258e
hex2c3a24998

11872127384 has 64 divisors (see below), whose sum is σ = 24170022240. Its totient is φ = 5434490880.

The previous prime is 11872127383. The next prime is 11872127389. The reversal of 11872127384 is 48372127811.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11872127383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10296152 + ... + 10297304.

Almost surely, 211872127384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11872127384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12085011120).

11872127384 is an abundant number, since it is smaller than the sum of its proper divisors (12297894856).

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

11872127384 is a wasteful number, since it uses less digits than its factorization.

11872127384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1896 counting only the distinct ones).

The product of its digits is 150528, while the sum is 44.

The spelling of 11872127384 in words is "eleven billion, eight hundred seventy-two million, one hundred twenty-seven thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 26 52 104 181 362 547 724 1094 1153 1448 2188 2306 2353 4376 4612 4706 7111 9224 9412 14222 14989 18824 28444 29978 56888 59956 99007 119912 198014 208693 396028 417386 630691 792056 834772 1261382 1287091 1669544 2522764 2574182 2713009 5045528 5148364 5426018 8198983 10296728 10852036 16397966 21704072 32795932 65591864 114155071 228310142 456620284 913240568 1484015923 2968031846 5936063692 11872127384