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102930148608 = 2837171975717
BaseRepresentation
bin101111111011100011…
…1010110110100000000
3100211200101020022111020
41133313013112310000
53141300104223413
6115141354145440
710302463553550
oct1376707266400
9324611208436
10102930148608
113a71a427121
1217b47122280
1399248a7ca1
144da6283160
152a265d1c23
hex17f71d6d00

102930148608 has 288 divisors, whose sum is σ = 333236623104. Its totient is φ = 27533377536.

The previous prime is 102930148583. The next prime is 102930148627. The reversal of 102930148608 is 806841039201.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 102930148608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18001366 + ... + 18007082.

It is an arithmetic number, because the mean of its divisors is an integer number (1157071608).

Almost surely, 2102930148608 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 102930148608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166618311552).

102930148608 is an abundant number, since it is smaller than the sum of its proper divisors (230306474496).

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

102930148608 is a wasteful number, since it uses less digits than its factorization.

102930148608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5957 (or 5943 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 102930148608 in words is "one hundred two billion, nine hundred thirty million, one hundred forty-eight thousand, six hundred eight".