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153650494440 = 233252319939311
BaseRepresentation
bin1000111100011001001…
…0000111101111101000
3112200121011111211211100
42033012102013233220
510004134011310230
6154330331201400
714046413440122
oct2170622075750
9480534454740
10153650494440
115a187775703
12259412a6260
131164895ba41
147618526212
153ee4317660
hex23c6487be8

153650494440 has 192 divisors, whose sum is σ = 521393034240. Its totient is φ = 39168138240.

The previous prime is 153650494433. The next prime is 153650494469. The reversal of 153650494440 is 44494056351.

153650494440 is a `hidden beast` number, since 1 + 53 + 6 + 504 + 94 + 4 + 4 + 0 = 666.

153650494440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16497385 + ... + 16506695.

It is an arithmetic number, because the mean of its divisors is an integer number (2715588720).

Almost surely, 2153650494440 is an apocalyptic number.

153650494440 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 153650494440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260696517120).

153650494440 is an abundant number, since it is smaller than the sum of its proper divisors (367742539800).

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

153650494440 is a wasteful number, since it uses less digits than its factorization.

153650494440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11344 (or 11337 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 153650494440 in words is "one hundred fifty-three billion, six hundred fifty million, four hundred ninety-four thousand, four hundred forty".