Search a number
-
+
11738459772 = 22321325199929
BaseRepresentation
bin10101110111010101…
…01010111001111100
31010022001222112121100
422323222222321330
5143020021203042
65220443533100
7563614155534
oct127352527174
933261875540
1011738459772
114a84066626
12233722a190
131150c114b0
147d4dba4c4
1548a80c24c
hex2bbaaae7c

11738459772 has 72 divisors (see below), whose sum is σ = 32082326640. Its totient is φ = 3597408000.

The previous prime is 11738459687. The next prime is 11738459797. The reversal of 11738459772 is 27795483711.

11738459772 is a `hidden beast` number, since 1 + 17 + 38 + 4 + 597 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67504 + ... + 167432.

It is an arithmetic number, because the mean of its divisors is an integer number (445587870).

Almost surely, 211738459772 is an apocalyptic number.

11738459772 is a gapful number since it is divisible by the number (12) 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 11738459772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16041163320).

11738459772 is an abundant number, since it is smaller than the sum of its proper divisors (20343866868).

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

11738459772 is a wasteful number, since it uses less digits than its factorization.

11738459772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100203 (or 100198 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 54.

The spelling of 11738459772 in words is "eleven billion, seven hundred thirty-eight million, four hundred fifty-nine thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 251 468 502 753 1004 1506 2259 3012 3263 4518 6526 9036 9789 13052 19578 29367 39156 58734 99929 117468 199858 299787 399716 599574 899361 1199148 1299077 1798722 2598154 3597444 3897231 5196308 7794462 11691693 15588924 23383386 25082179 46766772 50164358 75246537 100328716 150493074 225739611 300986148 326068327 451479222 652136654 902958444 978204981 1304273308 1956409962 2934614943 3912819924 5869229886 11738459772