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112809869640 = 233451319731931
BaseRepresentation
bin110100100001111111…
…1100000000101001000
3101210011220200010220000
41221003333200011020
53322013311312030
6123454003003000
711102351033136
oct1510377400510
9353156603800
10112809869640
114392a259826
1219a43969460
13a83a6a1570
145662456756
152e03b31860
hex1a43fe0148

112809869640 has 640 divisors, whose sum is σ = 435938025600. Its totient is φ = 25933271040.

The previous prime is 112809869639. The next prime is 112809869677. The reversal of 112809869640 is 46968908211.

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 159 ways as a sum of consecutive naturals, for example, 58419475 + ... + 58421405.

It is an arithmetic number, because the mean of its divisors is an integer number (681153165).

Almost surely, 2112809869640 is an apocalyptic number.

112809869640 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 112809869640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217969012800).

112809869640 is an abundant number, since it is smaller than the sum of its proper divisors (323128155960).

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

112809869640 is a wasteful number, since it uses less digits than its factorization.

112809869640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 112809869640 in words is "one hundred twelve billion, eight hundred nine million, eight hundred sixty-nine thousand, six hundred forty".