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204930541088 = 25713219284917
BaseRepresentation
bin1011111011011011001…
…1111110011000100000
3201120221221222010100022
42332312303332120200
511324144204303323
6234051020413012
720543240600240
oct2766663763040
9646857863308
10204930541088
1179a01a47749
12338729a7168
131642b96b600
149cc0c61b20
1554e625a4c8
hex2fb6cfe620

204930541088 has 144 divisors (see below), whose sum is σ = 525571139520. Its totient is φ = 76804236288.

The previous prime is 204930540979. The next prime is 204930541111. The reversal of 204930541088 is 880145039402.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 576806 + ... + 861722.

It is an arithmetic number, because the mean of its divisors is an integer number (3649799580).

Almost surely, 2204930541088 is an apocalyptic number.

204930541088 is a gapful number since it is divisible by the number (28) 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 204930541088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262785569760).

204930541088 is an abundant number, since it is smaller than the sum of its proper divisors (320640598432).

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

204930541088 is a wasteful number, since it uses less digits than its factorization.

204930541088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284979 (or 284958 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 204930541088 in words is "two hundred four billion, nine hundred thirty million, five hundred forty-one thousand, eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 76 91 104 112 133 152 169 182 208 224 247 266 304 338 364 416 494 532 608 676 728 988 1064 1183 1352 1456 1729 1976 2128 2366 2704 2912 3211 3458 3952 4256 4732 5408 6422 6916 7904 9464 12844 13832 18928 22477 25688 27664 37856 44954 51376 55328 89908 102752 179816 284917 359632 569834 719264 1139668 1994419 2279336 3703921 3988838 4558672 5413423 7407842 7977676 9117344 10826846 14815684 15955352 21653692 25927447 29631368 31910704 37893961 43307384 48150973 51854894 59262736 63821408 70374499 75787922 86614768 96301946 103709788 118525472 140748998 151575844 173229536 192603892 207419576 281497996 303151688 337056811 385207784 414839152 492621493 562995992 606303376 674113622 770415568 829678304 914868487 985242986 1125991984 1212606752 1348227244 1540831136 1829736974 1970485972 2251983968 2696454488 3659473948 3940971944 5392908976 6404079409 7318947896 7881943888 10785817952 12808158818 14637895792 15763887776 25616317636 29275791584 51232635272 102465270544 204930541088