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148360615680 = 28351721110771
BaseRepresentation
bin1000101000101011111…
…0110101011100000000
3112011221111200011100210
42022022332311130000
54412320304200210
6152053402514120
713501341266064
oct2121276653400
9464844604323
10148360615680
1157a12777482
1224905805940
1310cb4a37174
147275b67aa4
153cd4c00e20
hex228afb5700

148360615680 has 288 divisors, whose sum is σ = 504123395328. Its totient is φ = 37055692800.

The previous prime is 148360615679. The next prime is 148360615693. The reversal of 148360615680 is 86516063841.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13768695 + ... + 13779465.

It is an arithmetic number, because the mean of its divisors is an integer number (1750428456).

Almost surely, 2148360615680 is an apocalyptic number.

148360615680 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 148360615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252061697664).

148360615680 is an abundant number, since it is smaller than the sum of its proper divisors (355762779648).

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

148360615680 is a wasteful number, since it uses less digits than its factorization.

148360615680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11023 (or 11009 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 148360615680 in words is "one hundred forty-eight billion, three hundred sixty million, six hundred fifteen thousand, six hundred eighty".