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148732593408 = 28327192347449
BaseRepresentation
bin1000101010000100100…
…1110100010100000000
3112012220102121120212200
42022201021310110000
54414101020442113
6152154331353200
713513506120210
oct2124111642400
9465812546780
10148732593408
1158093742893
12249aa2b2800
1311043b16a29
1472ad316240
153d076cb873
hex22a1274500

148732593408 has 864 divisors, whose sum is σ = 550996992000. Its totient is φ = 37604818944.

The previous prime is 148732593371. The next prime is 148732593409. The reversal of 148732593408 is 804395237841.

It is a happy number.

148732593408 is a `hidden beast` number, since 1 + 4 + 8 + 7 + 3 + 2 + 593 + 40 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148732593409) 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, 331252768 + ... + 331253216.

It is an arithmetic number, because the mean of its divisors is an integer number (637728000).

Almost surely, 2148732593408 is an apocalyptic number.

148732593408 is a gapful number since it is divisible by the number (18) 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 148732593408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275498496000).

148732593408 is an abundant number, since it is smaller than the sum of its proper divisors (402264398592).

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

148732593408 is a wasteful number, since it uses less digits than its factorization.

148732593408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 148732593408 in words is "one hundred forty-eight billion, seven hundred thirty-two million, five hundred ninety-three thousand, four hundred eight".