Search a number
-
+
11523660680 = 2357537110937
BaseRepresentation
bin10101011101101110…
…10001101110001000
31002202002210121122102
422232313101232020
5142100024120210
65143252012532
7555365333240
oct125667215610
932662717572
1011523660680
114983895914
122297301148
13111857513c
147b4664b20
15476a2cea5
hex2aedd1b88

11523660680 has 128 divisors (see below), whose sum is σ = 30619399680. Its totient is φ = 3821475840.

The previous prime is 11523660671. The next prime is 11523660691. The reversal of 11523660680 is 8606632511.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1048172 + ... + 1059108.

It is an arithmetic number, because the mean of its divisors is an integer number (239214060).

Almost surely, 211523660680 is an apocalyptic number.

11523660680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11523660680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15309699840).

11523660680 is an abundant number, since it is smaller than the sum of its proper divisors (19095739000).

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

11523660680 is a wasteful number, since it uses less digits than its factorization.

11523660680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11079 (or 11075 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 11523660680 in words is "eleven billion, five hundred twenty-three million, six hundred sixty thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 71 106 140 142 212 265 280 284 355 371 424 497 530 568 710 742 994 1060 1420 1484 1855 1988 2120 2485 2840 2968 3710 3763 3976 4970 7420 7526 9940 10937 14840 15052 18815 19880 21874 26341 30104 37630 43748 52682 54685 75260 76559 87496 105364 109370 131705 150520 153118 210728 218740 263410 306236 382795 437480 526820 579661 612472 765590 776527 1053640 1159322 1531180 1553054 2318644 2898305 3062360 3106108 3882635 4057627 4637288 5435689 5796610 6212216 7765270 8115254 10871378 11593220 15530540 16230508 20288135 21742756 23186440 27178445 31061080 32461016 40576270 41155931 43485512 54356890 81152540 82311862 108713780 162305080 164623724 205779655 217427560 288091517 329247448 411559310 576183034 823118620 1152366068 1440457585 1646237240 2304732136 2880915170 5761830340 11523660680