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11749259236 = 221121323792
BaseRepresentation
bin10101111000100111…
…10111011111100100
31010022211022012200111
422330103313133210
5143030302243421
65221511222404
7564105025051
oct127423673744
933284265614
1011749259236
114a8a172400
12233a977a04
131153222c00
147d65cc028
1548b741ee1
hex2bc4f77e4

11749259236 has 81 divisors (see below), whose sum is σ = 24537289833. Its totient is φ = 4916751840.

The previous prime is 11749259231. The next prime is 11749259237. The reversal of 11749259236 is 63295294711.

The square root of 11749259236 is 108394.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1738056100 + 10011203136 = 41690^2 + 100056^2 .

It is a Duffinian number.

Its product of digits (816480) is a multiple of the sum of its prime divisors (405).

It is a self number, because there is not a number n which added to its sum of digits gives 11749259236.

It is not an unprimeable number, because it can be changed into a prime (11749259231) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31000495 + ... + 31000873.

Almost surely, 211749259236 is an apocalyptic number.

11749259236 is the 108394-th square number.

It is an amenable number.

11749259236 is an abundant number, since it is smaller than the sum of its proper divisors (12788030597).

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

11749259236 is a wasteful number, since it uses less digits than its factorization.

11749259236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 405 counting only the distinct ones).

The product of its digits is 816480, while the sum is 49.

Multiplying 11749259236 by its sum of digits (49), we get a square (575713702564 = 7587582).

The spelling of 11749259236 in words is "eleven billion, seven hundred forty-nine million, two hundred fifty-nine thousand, two hundred thirty-six".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 169 242 286 338 379 484 572 676 758 1516 1573 1859 3146 3718 4169 4927 6292 7436 8338 9854 16676 19708 20449 40898 45859 54197 64051 81796 91718 108394 128102 143641 183436 216788 256204 287282 574564 596167 704561 1192334 1409122 1580051 1867333 2384668 2818244 3160102 3734666 6320204 7469332 7750171 15500342 17380561 20540663 24275329 31000684 34761122 41081326 48550658 69522244 82162652 97101316 225947293 267028619 451894586 534057238 903789172 1068114476 2937314809 5874629618 11749259236