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153290456001 = 32791991083409
BaseRepresentation
bin1000111011000011010…
…0101011101111000001
3112122200002000222221100
42032300310223233001
510002414324043001
6154230510245013
714034452243304
oct2166064535701
9478602028840
10153290456001
115a012514481
12258607b6769
13115bc19c647
1475c27a4b3b
153ec28e9586
hex23b0d2bbc1

153290456001 has 24 divisors (see below), whose sum is σ = 225349280000. Its totient is φ = 100392918912.

The previous prime is 153290455993. The next prime is 153290456009. The reversal of 153290456001 is 100654092351.

153290456001 is a `hidden beast` number, since 1 + 5 + 3 + 2 + 9 + 0 + 45 + 600 + 1 = 666.

153290456001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (153290455993) and next prime (153290456009).

It is not a de Polignac number, because 153290456001 - 23 = 153290455993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (153290456009) 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 23 ways as a sum of consecutive naturals, for example, 400216 + ... + 683193.

Almost surely, 2153290456001 is an apocalyptic number.

It is an amenable number.

153290456001 is a deficient number, since it is larger than the sum of its proper divisors (72058823999).

153290456001 is a wasteful number, since it uses less digits than its factorization.

153290456001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083693 (or 1083690 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 153290456001 in words is "one hundred fifty-three billion, two hundred ninety million, four hundred fifty-six thousand, one".

Divisors: 1 3 9 79 199 237 597 711 1791 15721 47163 141489 1083409 3250227 9750681 85589311 215598391 256767933 646795173 770303799 1940385519 17032272889 51096818667 153290456001