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108028987367616 = 26337247271100169
BaseRepresentation
bin11000100100000001110101…
…011010101110000011000000
3112011111110200212112210001000
4120210001311122232003000
5103124421331231230431
61021431455350412000
731516560004544400
oct3044016532560300
9464443625483030
10108028987367616
113146a922071777
12101488a9361000
134838122391223
141c968b9220800
15c751364d49e6
hex6240756ae0c0

108028987367616 has 672 divisors, whose sum is σ = 378692220211200. Its totient is φ = 30096942059520.

The previous prime is 108028987367611. The next prime is 108028987367641. The reversal of 108028987367616 is 616763789820801.

108028987367616 is a `hidden beast` number, since 108 + 0 + 2 + 89 + 87 + 367 + 6 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1080289873676162 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (108028987367611) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1078417180 + ... + 1078517348.

It is an arithmetic number, because the mean of its divisors is an integer number (563530089600).

Almost surely, 2108028987367616 is an apocalyptic number.

108028987367616 is a gapful number since it is divisible by the number (16) 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 108028987367616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189346110105600).

108028987367616 is an abundant number, since it is smaller than the sum of its proper divisors (270663232843584).

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

108028987367616 is a wasteful number, since it uses less digits than its factorization.

108028987367616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100522 (or 100499 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 108028987367616 in words is "one hundred eight trillion, twenty-eight billion, nine hundred eighty-seven million, three hundred sixty-seven thousand, six hundred sixteen".