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153285083237 = 111361139126421
BaseRepresentation
bin1000111011000010000…
…0001100000001100101
3112122122200221000220002
42032300200030001211
510002411440130422
6154230155151045
714034355465256
oct2166040140145
9478580830802
10153285083237
115a00a484880
122585aa45485
13115bb03acb0
1475c1ba6b2d
153ec21d7692
hex23b080c065

153285083237 has 32 divisors (see below), whose sum is σ = 184353617280. Its totient is φ = 125610912000.

The previous prime is 153285083179. The next prime is 153285083239. The reversal of 153285083237 is 732380582351.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 153285083237 - 210 = 153285082213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 153285083191 and 153285083200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153285083239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1149287 + ... + 1275707.

It is an arithmetic number, because the mean of its divisors is an integer number (5761050540).

Almost surely, 2153285083237 is an apocalyptic number.

It is an amenable number.

153285083237 is a deficient number, since it is larger than the sum of its proper divisors (31068534043).

153285083237 is a wasteful number, since it uses less digits than its factorization.

153285083237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126645.

The product of its (nonzero) digits is 1209600, while the sum is 47.

The spelling of 153285083237 in words is "one hundred fifty-three billion, two hundred eighty-five million, eighty-three thousand, two hundred thirty-seven".

Divisors: 1 11 13 61 139 143 671 793 1529 1807 8479 8723 19877 93269 110227 126421 1212497 1390631 1643473 7711681 17572519 18078203 84828491 100251853 193297709 228442747 1071923659 1102770383 2512870217 11791160249 13935007567 153285083237