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107080386840 = 233257127933223
BaseRepresentation
bin110001110111001111…
…1010000100100011000
3101020101121122021001100
41203232133100210120
53223300034334330
6121105252151400
710510360161510
oct1435637204430
9336347567040
10107080386840
114145a0a5579
1218905008560
13a13667cb5b
14527b544840
152bbab32060
hex18ee7d0918

107080386840 has 192 divisors, whose sum is σ = 398050099200. Its totient is φ = 24455644416.

The previous prime is 107080386781. The next prime is 107080386851. The reversal of 107080386840 is 48683080701.

It is a super-2 number, since 2×1070803868402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3206469 + ... + 3239691.

It is an arithmetic number, because the mean of its divisors is an integer number (2073177600).

Almost surely, 2107080386840 is an apocalyptic number.

107080386840 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 107080386840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199025049600).

107080386840 is an abundant number, since it is smaller than the sum of its proper divisors (290969712360).

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

107080386840 is a wasteful number, since it uses less digits than its factorization.

107080386840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34526 (or 34519 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 107080386840 in words is "one hundred seven billion, eighty million, three hundred eighty-six thousand, eight hundred forty".