Search a number
-
+
148930320494592 = 212367213219317
BaseRepresentation
bin100001110111001110001010…
…110110010111000000000000
3201112022121012002202202000000
4201313032022312113000000
5124010033244021311332
61244425351132000000
743240601115033300
oct4167161266270000
9645277162682000
10148930320494592
11434a9aa334a66a
121485383b000000
1365140b867b100
1428ac3a1b87600
1512340457b3b7c
hex87738ad97000

148930320494592 has 3276 divisors, whose sum is σ = 593936682625080. Its totient is φ = 37093660950528.

The previous prime is 148930320494563. The next prime is 148930320494609. The reversal of 148930320494592 is 295494023039841.

148930320494592 is a `hidden beast` number, since 1 + 4 + 8 + 9 + 3 + 0 + 32 + 0 + 4 + 9 + 4 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (3276).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 469811736418 + ... + 469811736734.

Almost surely, 2148930320494592 is an apocalyptic number.

148930320494592 is a gapful number since it is divisible by the number (12) 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 148930320494592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296968341312540).

148930320494592 is an abundant number, since it is smaller than the sum of its proper divisors (445006362130488).

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

148930320494592 is an equidigital number, since it uses as much as digits as its factorization.

148930320494592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 148930320494592 in words is "one hundred forty-eight trillion, nine hundred thirty billion, three hundred twenty million, four hundred ninety-four thousand, five hundred ninety-two".