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103981887360 = 27325132372887
BaseRepresentation
bin110000011010111001…
…1011010111110000000
3100221101200021011211100
41200311303122332000
53200423330343420
6115434004414400
710340524313361
oct1406563327600
9327350234740
10103981887360
114010a078aaa
121819b3a7400
139a6175bb00
145065c1bb68
152a88ad3190
hex1835cdaf80

103981887360 has 576 divisors, whose sum is σ = 399453893280. Its totient is φ = 24895143936.

The previous prime is 103981887301. The next prime is 103981887377. The reversal of 103981887360 is 63788189301.

103981887360 is a `hidden beast` number, since 1 + 0 + 398 + 188 + 73 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 103981887297 and 103981887306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36015837 + ... + 36018723.

Almost surely, 2103981887360 is an apocalyptic number.

103981887360 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 103981887360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199726946640).

103981887360 is an abundant number, since it is smaller than the sum of its proper divisors (295472005920).

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

103981887360 is a wasteful number, since it uses less digits than its factorization.

103981887360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 103981887360 in words is "one hundred three billion, nine hundred eighty-one million, eight hundred eighty-seven thousand, three hundred sixty".