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11918648340 = 2233541538331
BaseRepresentation
bin10110001100110100…
…00010010000010100
31010202122001001212000
423012122002100110
5143402133221330
65250401555300
7601232560614
oct130632022024
933678031760
1011918648340
1150668479a5
122387645b30
13117c350151
14810cc2a44
1549b551560
hex2c6682414

11918648340 has 96 divisors (see below), whose sum is σ = 37984705920. Its totient is φ = 3100780800.

The previous prime is 11918648257. The next prime is 11918648353. The reversal of 11918648340 is 4384681911.

11918648340 is a `hidden beast` number, since 1 + 1 + 91 + 86 + 483 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247026 + ... + 291305.

It is an arithmetic number, because the mean of its divisors is an integer number (395674020).

Almost surely, 211918648340 is an apocalyptic number.

11918648340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11918648340 is an abundant number, since it is smaller than the sum of its proper divisors (26066057580).

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

11918648340 is a wasteful number, since it uses less digits than its factorization.

11918648340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538390 (or 538382 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 11918648340 in words is "eleven billion, nine hundred eighteen million, six hundred forty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 82 90 108 123 135 164 180 205 246 270 369 410 492 540 615 738 820 1107 1230 1476 1845 2214 2460 3690 4428 5535 7380 11070 22140 538331 1076662 1614993 2153324 2691655 3229986 4844979 5383310 6459972 8074965 9689958 10766620 14534937 16149930 19379916 22071571 24224895 29069874 32299860 44143142 48449790 58139748 66214713 72674685 88286284 96899580 110357855 132429426 145349370 198644139 220715710 264858852 290698740 331073565 397288278 441431420 595932417 662147130 794576556 993220695 1191864834 1324294260 1986441390 2383729668 2979662085 3972882780 5959324170 11918648340