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148657148640 = 253457211131637
BaseRepresentation
bin1000101001110010101…
…0000001001011100000
3112012201011122121010000
42022130222001023200
54413422212224030
6152143034340000
713511601625500
oct2123452011340
9465634577100
10148657148640
11580550a3040
1224988b8a600
13110312bcb60
1472a32b7a00
153d00c77860
hex229ca812e0

148657148640 has 1440 divisors, whose sum is σ = 717422850144. Its totient is φ = 28496240640.

The previous prime is 148657148639. The next prime is 148657148659. The reversal of 148657148640 is 46841756841.

148657148640 is a `hidden beast` number, since 1 + 4 + 8 + 6 + 571 + 4 + 8 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 90809902 + ... + 90811538.

Almost surely, 2148657148640 is an apocalyptic number.

148657148640 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 148657148640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358711425072).

148657148640 is an abundant number, since it is smaller than the sum of its proper divisors (568765701504).

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

148657148640 is a wasteful number, since it uses less digits than its factorization.

148657148640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 148657148640 in words is "one hundred forty-eight billion, six hundred fifty-seven million, one hundred forty-eight thousand, six hundred forty".