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27786740380 = 22571719232341
BaseRepresentation
bin11001111000001110…
…000000001010011100
32122201111122122221121
4121320032000022130
5423401401143010
620433130140324
72002403252620
oct317016001234
978644578847
1027786740380
1110869988353
1254758816a4
13280a9a0319
1414b8519180
15ac968d3da
hex67838029c

27786740380 has 144 divisors (see below), whose sum is σ = 74525282496. Its totient is φ = 8494295040.

The previous prime is 27786740351. The next prime is 27786740407. The reversal of 27786740380 is 8304768772.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 843010 + ... + 875350.

It is an arithmetic number, because the mean of its divisors is an integer number (517536684).

Almost surely, 227786740380 is an apocalyptic number.

27786740380 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 27786740380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37262641248).

27786740380 is an abundant number, since it is smaller than the sum of its proper divisors (46738542116).

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

27786740380 is a wasteful number, since it uses less digits than its factorization.

27786740380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32412 (or 32391 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 52.

The spelling of 27786740380 in words is "twenty-seven billion, seven hundred eighty-six million, seven hundred forty thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 17 19 20 28 34 35 38 68 70 76 85 95 119 133 140 170 190 238 266 323 340 361 380 476 532 595 646 665 722 1190 1292 1330 1444 1615 1805 2261 2380 2527 2660 3230 3610 4522 5054 6137 6460 7220 9044 10108 11305 12274 12635 22610 24548 25270 30685 32341 42959 45220 50540 61370 64682 85918 122740 129364 161705 171836 214795 226387 323410 429590 452774 549797 614479 646820 859180 905548 1099594 1131935 1228958 2199188 2263870 2457916 2748985 3072395 3848579 4301353 4527740 5497970 6144790 7697158 8602706 10446143 10995940 11675101 12289580 15394316 17205412 19242895 20892286 21506765 23350202 38485790 41784572 43013530 46700404 52230715 58375505 73123001 76971580 81725707 86027060 104461430 116751010 146246002 163451414 198476717 208922860 233502020 292492004 326902828 365615005 396953434 408628535 731230010 793906868 817257070 992383585 1389337019 1462460020 1634514140 1984767170 2778674038 3969534340 5557348076 6946685095 13893370190 27786740380