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20235872673 = 3223791237441
BaseRepresentation
bin10010110110001001…
…101110100110100001
31221020021100211201200
4102312021232212201
5312420340411143
613143552551413
71314315036222
oct226611564641
957207324650
1020235872673
118644693715
123b08b52569
131ba6511c73
14d9d765249
157d680e1d3
hex4b626e9a1

20235872673 has 24 divisors (see below), whose sum is σ = 30886552320. Its totient is φ = 12740682240.

The previous prime is 20235872659. The next prime is 20235872729. The reversal of 20235872673 is 37627853202.

20235872673 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 587 + 2 + 67 + 3 = 666.

It is not a de Polignac number, because 20235872673 - 29 = 20235872161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20235872603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 602368 + ... + 635073.

It is an arithmetic number, because the mean of its divisors is an integer number (1286939680).

Almost surely, 220235872673 is an apocalyptic number.

20235872673 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

20235872673 is a deficient number, since it is larger than the sum of its proper divisors (10650679647).

20235872673 is a wasteful number, since it uses less digits than its factorization.

20235872673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237549 (or 1237546 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 20235872673 in words is "twenty billion, two hundred thirty-five million, eight hundred seventy-two thousand, six hundred seventy-three".

Divisors: 1 3 9 23 69 79 207 237 711 1817 5451 16353 1237441 3712323 11136969 28461143 85383429 97757839 256150287 293273517 879820551 2248430297 6745290891 20235872673