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148395991536 = 2432131923181399
BaseRepresentation
bin1000101000110100010…
…1110010000111110000
3112012000222020102220200
42022031011302013300
54412403333212121
6152101105035200
713502251054512
oct2121505620760
9465028212820
10148395991536
1157a30739921
1224915625b00
1310cbc172020
14727a735bb2
153cd7d8ca26
hex228d1721f0

148395991536 has 240 divisors, whose sum is σ = 491260224000. Its totient is φ = 41376158208.

The previous prime is 148395991433. The next prime is 148395991537. The reversal of 148395991536 is 635199593841.

148395991536 is a `hidden beast` number, since 1 + 4 + 8 + 3 + 9 + 5 + 9 + 91 + 536 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148395991537) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 727365 + ... + 908763.

It is an arithmetic number, because the mean of its divisors is an integer number (2046917600).

Almost surely, 2148395991536 is an apocalyptic number.

148395991536 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 148395991536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245630112000).

148395991536 is an abundant number, since it is smaller than the sum of its proper divisors (342864232464).

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

148395991536 is a wasteful number, since it uses less digits than its factorization.

148395991536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181468 (or 181459 counting only the distinct ones).

The product of its digits is 31492800, while the sum is 63.

The spelling of 148395991536 in words is "one hundred forty-eight billion, three hundred ninety-five million, nine hundred ninety-one thousand, five hundred thirty-six".