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23263271208 = 233283246901
BaseRepresentation
bin10101101010100110…
…010101100100101000
32020001020221121210100
4111222212111210220
5340120344134313
614404220345400
71452325354062
oct255246254450
966036847710
1023263271208
119958567a81
1246129a5260
13226979a348
1411a9860732
159124b6173
hex56a995928

23263271208 has 72 divisors (see below), whose sum is σ = 63774290970. Its totient is φ = 7660833600.

The previous prime is 23263271191. The next prime is 23263271267. The reversal of 23263271208 is 80217236232.

23263271208 is a `hidden beast` number, since 2 + 3 + 2 + 632 + 7 + 12 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14404320324 + 8858950884 = 120018^2 + 94122^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 472558 + ... + 519458.

Almost surely, 223263271208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23263271208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31887145485).

23263271208 is an abundant number, since it is smaller than the sum of its proper divisors (40511019762).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23263271208 is a wasteful number, since it uses less digits than its factorization.

23263271208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47079 (or 46989 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 23263271208 in words is "twenty-three billion, two hundred sixty-three million, two hundred seventy-one thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 996 1494 1992 2988 5976 6889 13778 20667 27556 41334 46901 55112 62001 82668 93802 124002 140703 165336 187604 248004 281406 375208 422109 496008 562812 844218 1125624 1688436 3376872 3892783 7785566 11678349 15571132 23356698 31142264 35035047 46713396 70070094 93426792 140140188 280280376 323100989 646201978 969302967 1292403956 1938605934 2584807912 2907908901 3877211868 5815817802 7754423736 11631635604 23263271208