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148565456640 = 2835519231093
BaseRepresentation
bin1000101001011100110…
…0001111011100000000
3112012110210010011100000
42022113030033130000
54413230224103030
6152130001200000
713506406355046
oct2122714173400
9465423104300
10148565456640
1158008366527
1224962330000
13110182c7a33
14729504a396
153ce7bb4860
hex229730f700

148565456640 has 864 divisors, whose sum is σ = 586046522880. Its totient is φ = 35867639808.

The previous prime is 148565456639. The next prime is 148565456647. The reversal of 148565456640 is 46654565841.

148565456640 is a `hidden beast` number, since 1 + 4 + 8 + 56 + 545 + 6 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148565456647) 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, 135923934 + ... + 135925026.

Almost surely, 2148565456640 is an apocalyptic number.

148565456640 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 148565456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293023261440).

148565456640 is an abundant number, since it is smaller than the sum of its proper divisors (437481066240).

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

148565456640 is a wasteful number, since it uses less digits than its factorization.

148565456640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 148565456640 in words is "one hundred forty-eight billion, five hundred sixty-five million, four hundred fifty-six thousand, six hundred forty".