Search a number
-
+
11193367397652 = 223311233531160491
BaseRepresentation
bin1010001011100010100010…
…1100000000010100010100
31110122002001000112020212000
42202320220230000110110
52431343004023211102
635450054553555300
72233460036015256
oct242705054002424
943562030466760
1011193367397652
1136260980a3870
121309424115b30
136326b75a524b
142a9a94815cd6
151462726d801c
hexa2e28b00514

11193367397652 has 192 divisors, whose sum is σ = 33128054507520. Its totient is φ = 3235260441600.

The previous prime is 11193367397647. The next prime is 11193367397759. The reversal of 11193367397652 is 25679376339111.

It is a happy number.

11193367397652 is a `hidden beast` number, since 1 + 1 + 193 + 3 + 6 + 7 + 397 + 6 + 52 = 666.

It is a super-2 number, since 2×111933673976522 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11193367397652.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9065127 + ... + 10225617.

It is an arithmetic number, because the mean of its divisors is an integer number (172541950560).

Almost surely, 211193367397652 is an apocalyptic number.

11193367397652 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 11193367397652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16564027253760).

11193367397652 is an abundant number, since it is smaller than the sum of its proper divisors (21934687109868).

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

11193367397652 is a wasteful number, since it uses less digits than its factorization.

11193367397652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160891 (or 1160883 counting only the distinct ones).

The product of its digits is 38578680, while the sum is 63.

The spelling of 11193367397652 in words is "eleven trillion, one hundred ninety-three billion, three hundred sixty-seven million, three hundred ninety-seven thousand, six hundred fifty-two".