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148732799040 = 26325723933083
BaseRepresentation
bin1000101010000100101…
…0100110100001000000
3112012220110000000221200
42022201022212201000
54414101044032130
6152154340021200
713513510634550
oct2124112464100
9465813000850
10148732799040
1158093873331
12249aa391800
1311043b894c7
1472ad36b160
153d0771c760
hex22a12a6840

148732799040 has 336 divisors, whose sum is σ = 585095591808. Its totient is φ = 33970839552.

The previous prime is 148732799011. The next prime is 148732799057. The reversal of 148732799040 is 40997237841.

148732799040 is a `hidden beast` number, since 1 + 487 + 3 + 2 + 79 + 90 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48241339 + ... + 48244421.

It is an arithmetic number, because the mean of its divisors is an integer number (1741355928).

Almost surely, 2148732799040 is an apocalyptic number.

148732799040 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 148732799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292547795904).

148732799040 is an abundant number, since it is smaller than the sum of its proper divisors (436362792768).

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

148732799040 is a wasteful number, since it uses less digits than its factorization.

148732799040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5506 (or 5493 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 148732799040 in words is "one hundred forty-eight billion, seven hundred thirty-two million, seven hundred ninety-nine thousand, forty".