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148376225760 = 253572171919531
BaseRepresentation
bin1000101000101111101…
…0011000011111100000
3112011222121001020100220
42022023322120133200
54412333303211020
6152055121243040
713501621052400
oct2121372303740
9464877036326
10148376225760
1157a20569574
122490aa93480
1310cb80413b9
147277c6c800
153cd6286240
hex228be987e0

148376225760 has 576 divisors, whose sum is σ = 606004519680. Its totient is φ = 30238064640.

The previous prime is 148376225749. The next prime is 148376225761. The reversal of 148376225760 is 67522673841.

It is a happy number.

148376225760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148376225761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7587195 + ... + 7606725.

It is an arithmetic number, because the mean of its divisors is an integer number (1052091180).

Almost surely, 2148376225760 is an apocalyptic number.

148376225760 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 148376225760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303002259840).

148376225760 is an abundant number, since it is smaller than the sum of its proper divisors (457628293920).

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

148376225760 is a wasteful number, since it uses less digits than its factorization.

148376225760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19599 (or 19584 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 148376225760 in words is "one hundred forty-eight billion, three hundred seventy-six million, two hundred twenty-five thousand, seven hundred sixty".