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2157430086 = 2337411071301
BaseRepresentation
bin1000000010010111…
…1100010101000110
312120100120210201000
42000211330111012
513404300230321
6554025114130
7104314565430
oct20045742506
95510523630
102157430086
11a078a4179
12502628946
13284c78166
14166759650
15c960d826
hex8097c546

2157430086 has 128 divisors (see below), whose sum is σ = 5669637120. Its totient is φ = 595296000.

The previous prime is 2157430063. The next prime is 2157430087. The reversal of 2157430086 is 6800347512.

2157430086 is a `hidden beast` number, since 2 + 1 + 574 + 3 + 0 + 0 + 86 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2157430086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2157430087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1657636 + ... + 1658936.

It is an arithmetic number, because the mean of its divisors is an integer number (44294040).

Almost surely, 22157430086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2157430086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834818560).

2157430086 is an abundant number, since it is smaller than the sum of its proper divisors (3512207034).

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

2157430086 is a wasteful number, since it uses less digits than its factorization.

2157430086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2157430086 is about 46448.1440533419. The cubic root of 2157430086 is about 1292.1479520619.

Adding to 2157430086 its reverse (6800347512), we get a palindrome (8957777598).

The spelling of 2157430086 in words is "two billion, one hundred fifty-seven million, four hundred thirty thousand, eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 41 42 54 63 82 107 123 126 189 214 246 287 321 369 378 574 642 738 749 861 963 1107 1301 1498 1722 1926 2214 2247 2583 2602 2889 3903 4387 4494 5166 5778 6741 7749 7806 8774 9107 11709 13161 13482 15498 18214 20223 23418 26322 27321 30709 35127 39483 40446 53341 54642 61418 70254 78966 81963 92127 106682 118449 139207 160023 163926 184254 236898 245889 276381 278414 320046 373387 417621 480069 491778 552762 746774 829143 835242 960138 974449 1120161 1252863 1440207 1658286 1948898 2240322 2505726 2880414 2923347 3360483 3758589 5707487 5846694 6720966 7517178 8770041 10081449 11414974 17122461 17540082 20162898 26310123 34244922 39952409 51367383 52620246 79904818 102734766 119857227 154102149 239714454 308204298 359571681 719143362 1078715043 2157430086