Search a number
-
+
11766378672 = 2432194300577
BaseRepresentation
bin10101111010101010…
…01011000010110000
31010101000111222010200
422331111023002300
5143044143104142
65223322155200
7564403365666
oct127525130260
933330458120
1011766378672
114a988a54a4
122344652b00
131156938159
147d89a6c36
1548cec464c
hex2bd54b0b0

11766378672 has 60 divisors (see below), whose sum is σ = 34662658680. Its totient is φ = 3715697664.

The previous prime is 11766378667. The next prime is 11766378683. The reversal of 11766378672 is 27687366711.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2147553 + ... + 2153024.

It is an arithmetic number, because the mean of its divisors is an integer number (577710978).

Almost surely, 211766378672 is an apocalyptic number.

11766378672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11766378672 is an abundant number, since it is smaller than the sum of its proper divisors (22896280008).

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

11766378672 is a wasteful number, since it uses less digits than its factorization.

11766378672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4300610 (or 4300601 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The spelling of 11766378672 in words is "eleven billion, seven hundred sixty-six million, three hundred seventy-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 4300577 8601154 12901731 17202308 25803462 34404616 38705193 51606924 68809232 77410386 81710963 103213848 154820772 163421926 206427696 245132889 309641544 326843852 490265778 619283088 653687704 735398667 980531556 1307375408 1470797334 1961063112 2941594668 3922126224 5883189336 11766378672