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148925450089440 = 25335239314405969
BaseRepresentation
bin100001110111001001101000…
…100011001111001111100000
3201112022010121200020112011000
4201313021220203033033200
5124004443310210330230
61244423223550152000
743240336325211333
oct4167115043171740
9645263550215130
10148925450089440
11434a7a24108142
12148528bbab2600
1365137c062577b
1428ac05cdbc61a
151233d5ce0ab60
hex8772688cf3e0

148925450089440 has 192 divisors, whose sum is σ = 521456929761600. Its totient is φ = 39696854925312.

The previous prime is 148925450089433. The next prime is 148925450089457. The reversal of 148925450089440 is 44980054529841.

It is a happy number.

148925450089440 is a `hidden beast` number, since 1 + 4 + 8 + 9 + 2 + 5 + 4 + 500 + 89 + 4 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3134776 + ... + 17540744.

It is an arithmetic number, because the mean of its divisors is an integer number (2715921509175).

Almost surely, 2148925450089440 is an apocalyptic number.

148925450089440 is a gapful number since it is divisible by the number (10) 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 148925450089440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260728464880800).

148925450089440 is an abundant number, since it is smaller than the sum of its proper divisors (372531479672160).

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

148925450089440 is a wasteful number, since it uses less digits than its factorization.

148925450089440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14408386 (or 14408372 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 148925450089440 in words is "one hundred forty-eight trillion, nine hundred twenty-five billion, four hundred fifty million, eighty-nine thousand, four hundred forty".