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148950042392448 = 273211219181310721
BaseRepresentation
bin100001110111100000100010…
…010111011011011110000000
3201112101111002112222221211100
4201313200202113123132000
5124010344141323024243
61244442412124414400
743242166622302623
oct4167404227333600
9645344075887740
10148950042392448
11435073a38a1400
12148576239a7400
136515c0c55415b
1428ad313159dba
1512347ebde90d3
hex8778225db780

148950042392448 has 576 divisors, whose sum is σ = 498664625331600. Its totient is φ = 42524393472000.

The previous prime is 148950042392441. The next prime is 148950042392453. The reversal of 148950042392448 is 844293240059841.

It is a happy number.

148950042392448 is a `hidden beast` number, since 1 + 4 + 89 + 5 + 0 + 0 + 4 + 23 + 92 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1489500423924482 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148950042392441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 479213728 + ... + 479524448.

Almost surely, 2148950042392448 is an apocalyptic number.

148950042392448 is a gapful number since it is divisible by the number (18) 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 148950042392448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249332312665800).

148950042392448 is an abundant number, since it is smaller than the sum of its proper divisors (349714582939152).

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

148950042392448 is a wasteful number, since it uses less digits than its factorization.

148950042392448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310963 (or 310937 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 148950042392448 in words is "one hundred forty-eight trillion, nine hundred fifty billion, forty-two million, three hundred ninety-two thousand, four hundred forty-eight".