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102419889528 = 233112174348247
BaseRepresentation
bin101111101100010110…
…0110111110101111000
3100210100211002110121210
41133120230313311320
53134223442431103
6115015005403120
710254026461005
oct1373054676570
9323324073553
10102419889528
113a4883a2a00
1217a242694a0
139872c70438
144d585ba8ac
1529e68dde03
hex17d8b37d78

102419889528 has 192 divisors, whose sum is σ = 304935079680. Its totient is φ = 28530754560.

The previous prime is 102419889491. The next prime is 102419889601. The reversal of 102419889528 is 825988914201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2098701 + ... + 2146947.

It is an arithmetic number, because the mean of its divisors is an integer number (1588203540).

Almost surely, 2102419889528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102419889528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152467539840).

102419889528 is an abundant number, since it is smaller than the sum of its proper divisors (202515190152).

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

102419889528 is a wasteful number, since it uses less digits than its factorization.

102419889528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48338 (or 48323 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 57.

The spelling of 102419889528 in words is "one hundred two billion, four hundred nineteen million, eight hundred eighty-nine thousand, five hundred twenty-eight".