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2157456366 = 2321321741719
BaseRepresentation
bin1000000010011000…
…0010101111101110
312120100122010202100
42000212002233232
513404302100431
6554025435530
7104315035152
oct20046025756
95510563670
102157456366
11a0791199a
1250263bba6
13284c87100
14166765062
15c96164e6
hex80982bee

2157456366 has 72 divisors (see below), whose sum is σ = 5359601520. Its totient is φ = 624768768.

The previous prime is 2157456359. The next prime is 2157456397. The reversal of 2157456366 is 6636547512.

2157456366 is a `hidden beast` number, since 2 + 1 + 5 + 7 + 4 + 5 + 636 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30855 + ... + 72573.

It is an arithmetic number, because the mean of its divisors is an integer number (74438910).

Almost surely, 22157456366 is an apocalyptic number.

2157456366 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2157456366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679800760).

2157456366 is an abundant number, since it is smaller than the sum of its proper divisors (3202145154).

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

2157456366 is a wasteful number, since it uses less digits than its factorization.

2157456366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41770 (or 41754 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 2157456366 is about 46448.4269486061. The cubic root of 2157456366 is about 1292.1531986607.

It can be divided in two parts, 215745 and 6366, that added together give a triangular number (222111 = T666).

The spelling of 2157456366 in words is "two billion, one hundred fifty-seven million, four hundred fifty-six thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 169 221 234 306 338 442 507 663 1014 1326 1521 1989 2873 3042 3978 5746 8619 17238 25857 41719 51714 83438 125157 250314 375471 542347 709223 750942 1084694 1418446 1627041 2127669 3254082 4255338 4881123 6383007 7050511 9219899 9762246 12766014 14101022 18439798 21151533 27659697 42303066 55319394 63454599 82979091 119858687 126909198 165958182 239717374 359576061 719152122 1078728183 2157456366