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153168911424 = 26322327092
BaseRepresentation
bin1000111010100110010…
…1000001110001000000
3112122100121022220010100
42032221211001301000
510002142220131144
6154210445202400
714031445160034
oct2165145016100
9478317286110
10153168911424
1159a5a948211
1225827b60400
131159cc54689
1475b05a61c4
153eb6ddb269
hex23a9941c40

153168911424 has 189 divisors, whose sum is σ = 459597493173. Its totient is φ = 48767583744.

The previous prime is 153168911383. The next prime is 153168911431. The reversal of 153168911424 is 424119861351.

The square root of 153168911424 is 391368.

It is a perfect power (a square), and thus also a powerful number.

153168911424 is a `hidden beast` number, since 1 + 53 + 168 + 9 + 11 + 424 = 666.

153168911424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 20439849024 + 132729062400 = 142968^2 + 364320^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 153168911424.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 216034782 + ... + 216035490.

Almost surely, 2153168911424 is an apocalyptic number.

153168911424 is the 391368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153168911424

153168911424 is an abundant number, since it is smaller than the sum of its proper divisors (306428581749).

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

153168911424 is an frugal number, since it uses more digits than its factorization.

153168911424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 737 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 153168911424 in words is "one hundred fifty-three billion, one hundred sixty-eight million, nine hundred eleven thousand, four hundred twenty-four".