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148421790272448 = 2633711331253181
BaseRepresentation
bin100001101111110100100100…
…000101100000101111000000
3201110111222120202102211211000
4201233310210011200233000
5123423220311302204243
61243400010144252000
743156056216334410
oct4157644405405700
9643458522384730
10148421790272448
1143323367296000
1214791179311000
1364a81651b3014
14289191dab8640
151225bd0d4c5d3
hex86fd24160bc0

148421790272448 has 2688 divisors, whose sum is σ = 580642970019840. Its totient is φ = 36401384448000.

The previous prime is 148421790272381. The next prime is 148421790272461. The reversal of 148421790272448 is 844272097124841.

148421790272448 is a `hidden beast` number, since 1 + 4 + 84 + 2 + 1 + 7 + 90 + 27 + 2 + 448 = 666.

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 383 ways as a sum of consecutive naturals, for example, 820009890918 + ... + 820009891098.

It is an arithmetic number, because the mean of its divisors is an integer number (216013009680).

Almost surely, 2148421790272448 is an apocalyptic number.

148421790272448 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 148421790272448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290321485009920).

148421790272448 is an abundant number, since it is smaller than the sum of its proper divisors (432221179747392).

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

148421790272448 is a wasteful number, since it uses less digits than its factorization.

148421790272448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 148421790272448 in words is "one hundred forty-eight trillion, four hundred twenty-one billion, seven hundred ninety million, two hundred seventy-two thousand, four hundred forty-eight".