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148339668232704 = 29313195321091277
BaseRepresentation
bin100001101110101000000101…
…001110110010101000000000
3201110020010121112022222112110
4201232220011032302220000
5123420344120031421304
61243254145224055320
743150121156453124
oct4156500516625000
9643203545288473
10148339668232704
11432a1555568073
121477927a904540
1364a04a85446b0
14288b96d197584
1512239c6411289
hex86ea053b2a00

148339668232704 has 960 divisors, whose sum is σ = 461146103510400. Its totient is φ = 42002714198016.

The previous prime is 148339668232687. The next prime is 148339668232711. The reversal of 148339668232704 is 407232866933841.

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, 116162621314 + ... + 116162622590.

It is an arithmetic number, because the mean of its divisors is an integer number (480360524490).

Almost surely, 2148339668232704 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 148339668232704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230573051755200).

148339668232704 is an abundant number, since it is smaller than the sum of its proper divisors (312806435277696).

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

148339668232704 is a wasteful number, since it uses less digits than its factorization.

148339668232704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 66.

The spelling of 148339668232704 in words is "one hundred forty-eight trillion, three hundred thirty-nine billion, six hundred sixty-eight million, two hundred thirty-two thousand, seven hundred four".