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108141658619904 = 21435721342641
BaseRepresentation
bin11000100101101010110001…
…001001011100000000000000
3112011220020112010101102200000
4120211222301021130000000
5103133243104101314104
61021555331522400000
731530656053436400
oct3045526111340000
9464806463342600
10108141658619904
11315036900531a8
12101666b2800000
13484593a11a890
141c9c1270b2800
15c7802cd84639
hex625ab125c000

108141658619904 has 1080 divisors, whose sum is σ = 405862122255408. Its totient is φ = 28520208138240.

The previous prime is 108141658619849. The next prime is 108141658619921. The reversal of 108141658619904 is 409916856141801.

108141658619904 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 4 + 1 + 6 + 5 + 8 + 619 + 9 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 2536074424 + ... + 2536117064.

Almost surely, 2108141658619904 is an apocalyptic number.

108141658619904 is a gapful number since it is divisible by the number (14) 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 108141658619904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202931061127704).

108141658619904 is an abundant number, since it is smaller than the sum of its proper divisors (297720463635504).

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

108141658619904 is an frugal number, since it uses more digits than its factorization.

108141658619904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42711 (or 42666 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

The spelling of 108141658619904 in words is "one hundred eight trillion, one hundred forty-one billion, six hundred fifty-eight million, six hundred nineteen thousand, nine hundred four".