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148698426240 = 2735572131979
BaseRepresentation
bin1000101001111100011…
…1011110101110000000
3112012211001022201100000
42022133013132232000
54414013244114430
6152151111200000
713512612524400
oct2123707365600
9465731281300
10148698426240
1158076426561
122499a976000
1311039a13080
1472a8980800
153d046cce60
hex229f1deb80

148698426240 has 2304 divisors, whose sum is σ = 711075456000. Its totient is φ = 29346250752.

The previous prime is 148698426157. The next prime is 148698426257. The reversal of 148698426240 is 42624896841.

It is a happy number.

148698426240 is a `hidden beast` number, since 1 + 4 + 8 + 6 + 9 + 8 + 4 + 2 + 624 + 0 = 666.

148698426240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1486984262402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1882258521 + ... + 1882258599.

It is an arithmetic number, because the mean of its divisors is an integer number (308626500).

Almost surely, 2148698426240 is an apocalyptic number.

148698426240 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 148698426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355537728000).

148698426240 is an abundant number, since it is smaller than the sum of its proper divisors (562377029760).

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

148698426240 is a wasteful number, since it uses less digits than its factorization.

148698426240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 148698426240 in words is "one hundred forty-eight billion, six hundred ninety-eight million, four hundred twenty-six thousand, two hundred forty".