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11383506780 = 2235978532293
BaseRepresentation
bin10101001101000001…
…01000011101011100
31002101100002001122020
422212200220131130
5141303134204110
65121324020140
7552044132262
oct124640503534
932340061566
1011383506780
114911769148
122258391650
1310c5512a39
1479dbc0432
15469595d70
hex2a682875c

11383506780 has 96 divisors (see below), whose sum is σ = 32254227264. Its totient is φ = 2999476224.

The previous prime is 11383506769. The next prime is 11383506781. The reversal of 11383506780 is 8760538311.

It is a super-2 number, since 2×113835067802 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11383506781) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4963314 + ... + 4965606.

It is an arithmetic number, because the mean of its divisors is an integer number (335981534).

Almost surely, 211383506780 is an apocalyptic number.

11383506780 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 11383506780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16127113632).

11383506780 is an abundant number, since it is smaller than the sum of its proper divisors (20870720484).

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

11383506780 is a wasteful number, since it uses less digits than its factorization.

11383506780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3255 (or 3253 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 11383506780 in words is "eleven billion, three hundred eighty-three million, five hundred six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 853 970 1164 1455 1706 1940 2293 2559 2910 3412 4265 4586 5118 5820 6879 8530 9172 10236 11465 12795 13758 17060 22930 25590 27516 34395 45860 51180 68790 82741 137580 165482 222421 248223 330964 413705 444842 496446 667263 827410 889684 992892 1112105 1241115 1334526 1654820 1955929 2224210 2482230 2669052 3336315 3911858 4448420 4964460 5867787 6672630 7823716 9779645 11735574 13345260 19559290 23471148 29338935 39118580 58677870 117355740 189725113 379450226 569175339 758900452 948625565 1138350678 1897251130 2276701356 2845876695 3794502260 5691753390 11383506780