Search a number
-
+
11761604112 = 2434712741051
BaseRepresentation
bin10101111010000101…
…11101011000010000
31010100200112101200010
422331002331120100
5143041432312422
65223031554520
7564314661666
oct127502753020
933320471603
1011761604112
114a96134285
122342b2ba40
131155955b7b
147d80c2c36
1548c87eb0c
hex2bd0bd610

11761604112 has 80 divisors (see below), whose sum is σ = 31275712512. Its totient is φ = 3806812800.

The previous prime is 11761604069. The next prime is 11761604117. The reversal of 11761604112 is 21140616711.

It is a self number, because there is not a number n which added to its sum of digits gives 11761604112.

It is not an unprimeable number, because it can be changed into a prime (11761604117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265987 + ... + 307037.

Almost surely, 211761604112 is an apocalyptic number.

11761604112 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 11761604112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15637856256).

11761604112 is an abundant number, since it is smaller than the sum of its proper divisors (19514108400).

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

11761604112 is a wasteful number, since it uses less digits than its factorization.

11761604112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41236 (or 41230 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The spelling of 11761604112 in words is "eleven billion, seven hundred sixty-one million, six hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 127 141 188 254 282 376 381 508 564 752 762 1016 1128 1524 2032 2256 3048 5969 6096 11938 17907 23876 35814 41051 47752 71628 82102 95504 123153 143256 164204 246306 286512 328408 492612 656816 985224 1929397 1970448 3858794 5213477 5788191 7717588 10426954 11576382 15435176 15640431 20853908 23152764 30870352 31280862 41707816 46305528 62561724 83415632 92611056 125123448 245033419 250246896 490066838 735100257 980133676 1470200514 1960267352 2940401028 3920534704 5880802056 11761604112