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102197494080 = 263251129173643
BaseRepresentation
bin101111100101101110…
…0100000000101000000
3100202210022121121102100
41133023130200011000
53133300024302310
6114540542550400
710245356236533
oct1371334400500
9322708547370
10102197494080
113a383903a10
1217981898400
139838b745b6
144d36c48a1a
1529d210dec0
hex17cb720140

102197494080 has 672 divisors, whose sum is σ = 399609624960. Its totient is φ = 23745576960.

The previous prime is 102197494013. The next prime is 102197494093. The reversal of 102197494080 is 80494791201.

It is a happy number.

102197494080 is a `hidden beast` number, since 10 + 2 + 197 + 49 + 408 + 0 = 666.

102197494080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 158938239 + ... + 158938881.

It is an arithmetic number, because the mean of its divisors is an integer number (594657180).

Almost surely, 2102197494080 is an apocalyptic number.

102197494080 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 102197494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199804812480).

102197494080 is an abundant number, since it is smaller than the sum of its proper divisors (297412130880).

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

102197494080 is a wasteful number, since it uses less digits than its factorization.

102197494080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 102197494080 in words is "one hundred two billion, one hundred ninety-seven million, four hundred ninety-four thousand, eighty".