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2158257564 = 2232792333257
BaseRepresentation
bin1000000010100100…
…0110010110011100
312120102010211210100
42000221012112130
513410003220224
6554054541100
7104324613051
oct20051062634
95512124710
102158257564
11a08309941
12502967790
132851a79a8
141668d3028
15c9723ac9
hex80a4659c

2158257564 has 72 divisors (see below), whose sum is σ = 5550068160. Its totient is φ = 707046912.

The previous prime is 2158257547. The next prime is 2158257611. The reversal of 2158257564 is 4657528512.

2158257564 is a `hidden beast` number, since 2 + 1 + 5 + 82 + 5 + 7 + 564 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 661024 + ... + 664280.

It is an arithmetic number, because the mean of its divisors is an integer number (77084280).

Almost surely, 22158257564 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 2158257564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775034080).

2158257564 is an abundant number, since it is smaller than the sum of its proper divisors (3391810596).

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

2158257564 is a wasteful number, since it uses less digits than its factorization.

2158257564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3579 (or 3574 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 2158257564 is about 46457.0507458233. The cubic root of 2158257564 is about 1292.3131312009.

The spelling of 2158257564 in words is "two billion, one hundred fifty-eight million, two hundred fifty-seven thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 233 237 316 466 474 699 711 932 948 1398 1422 2097 2796 2844 3257 4194 6514 8388 9771 13028 18407 19542 29313 36814 39084 55221 58626 73628 110442 117252 165663 220884 257303 331326 514606 662652 758881 771909 1029212 1517762 1543818 2276643 2315727 3035524 3087636 4553286 4631454 6829929 9106572 9262908 13659858 27319716 59951599 119903198 179854797 239806396 359709594 539564391 719419188 1079128782 2158257564