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11325863034900 = 22335216325734749
BaseRepresentation
bin1010010011010000001000…
…0010110000000000010100
31111002202000212110000012000
42210310002002300000110
52441030331414104100
640031010223155300
72246160305241051
oct244640202600024
944082025400160
1011325863034900
1136772a9467117
12132b040745b30
1364204150c4bb
142b2263518028
151499296b4900
hexa4d020b0014

11325863034900 has 144 divisors (see below), whose sum is σ = 36633931320000. Its totient is φ = 3001701006720.

The previous prime is 11325863034883. The next prime is 11325863034901. The reversal of 11325863034900 is 943036852311.

11325863034900 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 5 + 8 + 630 + 3 + 4 + 9 + 0 + 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 not an unprimeable number, because it can be changed into a prime (11325863034901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12427275 + ... + 13307474.

Almost surely, 211325863034900 is an apocalyptic number.

11325863034900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11325863034900 is an abundant number, since it is smaller than the sum of its proper divisors (25308068285100).

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

11325863034900 is a wasteful number, since it uses less digits than its factorization.

11325863034900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25734935 (or 25734922 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 11325863034900 in words is "eleven trillion, three hundred twenty-five billion, eight hundred sixty-three million, thirty-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 163 180 225 270 300 326 450 489 540 652 675 815 900 978 1350 1467 1630 1956 2445 2700 2934 3260 4075 4401 4890 5868 7335 8150 8802 9780 12225 14670 16300 17604 22005 24450 29340 36675 44010 48900 73350 88020 110025 146700 220050 440100 25734749 51469498 77204247 102938996 128673745 154408494 231612741 257347490 308816988 386021235 463225482 514694980 643368725 694838223 772042470 926450964 1158063705 1286737450 1389676446 1544084940 1930106175 2316127410 2573474900 2779352892 3474191115 3860212350 4194764087 4632254820 5790318525 6948382230 7720424700 8389528174 11580637050 12584292261 13896764460 16779056348 17370955575 20973820435 23161274100 25168584522 34741911150 37752876783 41947640870 50337169044 62921461305 69483822300 75505753566 83895281740 104869102175 113258630349 125842922610 151011507132 188764383915 209738204350 226517260698 251685845220 314607306525 377528767830 419476408700 453034521396 566293151745 629214613050 755057535660 943821919575 1132586303490 1258429226100 1887643839150 2265172606980 2831465758725 3775287678300 5662931517450 11325863034900