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152233014399 = 32319111551181
BaseRepresentation
bin1000110111000111001…
…0110111010001111111
3112112221101021101202120
42031301302313101333
54443233122430044
6153533533454023
713666322162214
oct2156162672177
9475841241676
10152233014399
115961a6279a4
1225606641313
131148109cb5b
147522183b0b
153e5eb6d519
hex2371cb747f

152233014399 has 16 divisors (see below), whose sum is σ = 212911386624. Its totient is φ = 96567864800.

The previous prime is 152233014359. The next prime is 152233014413. The reversal of 152233014399 is 993410332251.

It is a cyclic number.

It is not a de Polignac number, because 152233014399 - 216 = 152232948863 is a prime.

It is a super-2 number, since 2×1522330143992 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 152233014399.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152233014359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5762412 + ... + 5788769.

It is an arithmetic number, because the mean of its divisors is an integer number (13306961664).

Almost surely, 2152233014399 is an apocalyptic number.

152233014399 is a deficient number, since it is larger than the sum of its proper divisors (60678372225).

152233014399 is a wasteful number, since it uses less digits than its factorization.

152233014399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11551398.

The product of its (nonzero) digits is 174960, while the sum is 42.

The spelling of 152233014399 in words is "one hundred fifty-two billion, two hundred thirty-three million, fourteen thousand, three hundred ninety-nine".

Divisors: 1 3 23 69 191 573 4393 13179 11551181 34653543 265677163 797031489 2206275571 6618826713 50744338133 152233014399