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11293512660 = 223253117311699
BaseRepresentation
bin10101000010010010…
…10101001111010100
31002011001201212220200
422201021111033110
5141112114401120
65104351100500
7546602162613
oct124111251724
932131655820
1011293512660
114875991241
122232211730
1310ac993691
14791c7587a
1546171ae90
hex2a12553d4

11293512660 has 144 divisors (see below), whose sum is σ = 35569497600. Its totient is φ = 2897360640.

The previous prime is 11293512631. The next prime is 11293512667. The reversal of 11293512660 is 6621539211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11293512667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 959491 + ... + 971189.

It is an arithmetic number, because the mean of its divisors is an integer number (247010400).

Almost surely, 211293512660 is an apocalyptic number.

11293512660 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 11293512660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17784748800).

11293512660 is an abundant number, since it is smaller than the sum of its proper divisors (24275984940).

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

11293512660 is a wasteful number, since it uses less digits than its factorization.

11293512660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11918 (or 11913 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 11293512660 in words is "eleven billion, two hundred ninety-three million, five hundred twelve thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 173 180 186 279 310 346 372 465 519 558 620 692 865 930 1038 1116 1395 1557 1730 1860 2076 2595 2790 3114 3460 5190 5363 5580 6228 7785 10380 10726 11699 15570 16089 21452 23398 26815 31140 32178 35097 46796 48267 53630 58495 64356 70194 80445 96534 105291 107260 116990 140388 160890 175485 193068 210582 233980 241335 321780 350970 362669 421164 482670 526455 701940 725338 965340 1052910 1088007 1450676 1813345 2023927 2105820 2176014 3264021 3626690 4047854 4352028 5440035 6071781 6528042 7253380 8095708 10119635 10880070 12143562 13056084 16320105 18215343 20239270 21760140 24287124 30358905 32640210 36430686 40478540 60717810 62741737 65280420 72861372 91076715 121435620 125483474 182153430 188225211 250966948 313708685 364306860 376450422 564675633 627417370 752900844 941126055 1129351266 1254834740 1882252110 2258702532 2823378165 3764504220 5646756330 11293512660