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26960134680 = 23325379197597
BaseRepresentation
bin11001000110111100…
…110000001000011000
32120120220020202002200
4121012330300020120
5420203243302210
620215121130200
71643045235513
oct310674601030
976526222080
1026960134680
1110485325246
125284a89960
13270866341b
14143a825d7a
15a7bd0d0c0
hex646f30218

26960134680 has 96 divisors (see below), whose sum is σ = 87852070800. Its totient is φ = 7170363648.

The previous prime is 26960134639. The next prime is 26960134699. The reversal of 26960134680 is 8643106962.

26960134680 is a `hidden beast` number, since 2 + 6 + 9 + 601 + 34 + 6 + 8 + 0 = 666.

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

26960134680 is a modest number, since divided by 134680 gives 26960 as remainder.

It is a congruent 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, 37642 + ... + 235238.

Almost surely, 226960134680 is an apocalyptic number.

26960134680 is a gapful number since it is divisible by the number (20) 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 26960134680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43926035400).

26960134680 is an abundant number, since it is smaller than the sum of its proper divisors (60891936120).

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

26960134680 is a wasteful number, since it uses less digits than its factorization.

26960134680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197993 (or 197986 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 26960134680 in words is "twenty-six billion, nine hundred sixty million, one hundred thirty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 379 758 1137 1516 1895 2274 3032 3411 3790 4548 5685 6822 7580 9096 11370 13644 15160 17055 22740 27288 34110 45480 68220 136440 197597 395194 592791 790388 987985 1185582 1580776 1778373 1975970 2371164 2963955 3556746 3951940 4742328 5927910 7113492 7903880 8891865 11855820 14226984 17783730 23711640 35567460 71134920 74889263 149778526 224667789 299557052 374446315 449335578 599114104 674003367 748892630 898671156 1123338945 1348006734 1497785260 1797342312 2246677890 2696013468 2995570520 3370016835 4493355780 5392026936 6740033670 8986711560 13480067340 26960134680