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253029817233 = 3237759849301
BaseRepresentation
bin1110101110100111000…
…0001001101110010001
3220012010002020112000100
43223221300021232101
513121201113122413
6312123523043013
724165212650104
oct3535160115621
9805102215010
10253029817233
119834480a836
1241057210469
131ab259b315b
14c364d7a73b
1568adceca73
hex3ae9c09b91

253029817233 has 12 divisors (see below), whose sum is σ = 375365555188. Its totient is φ = 164127448800.

The previous prime is 253029817193. The next prime is 253029817267. The reversal of 253029817233 is 332718920352.

253029817233 is a `hidden beast` number, since 2 + 530 + 2 + 9 + 81 + 7 + 2 + 33 = 666.

253029817233 is digitally balanced in base 2, 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 2 ways, for example, as 166882871169 + 86146946064 = 408513^2 + 293508^2 .

It is not a de Polignac number, because 253029817233 - 221 = 253027720081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (253029813233) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 379924318 + ... + 379924983.

Almost surely, 2253029817233 is an apocalyptic number.

It is an amenable number.

253029817233 is a deficient number, since it is larger than the sum of its proper divisors (122335737955).

253029817233 is a wasteful number, since it uses less digits than its factorization.

253029817233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759849344 (or 759849341 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 253029817233 in words is "two hundred fifty-three billion, twenty-nine million, eight hundred seventeen thousand, two hundred thirty-three".

Divisors: 1 3 9 37 111 333 759849301 2279547903 6838643709 28114424137 84343272411 253029817233