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27690923960 = 2357179476143
BaseRepresentation
bin11001110010100000…
…011111011110111000
32122110211100200112022
4121302200133132320
5423202334031320
620415424334012
72000130653510
oct316240373670
978424320468
1027690923960
111081a894027
125449774308
1327c3b92b0b
1414a98d6840
15ac1063325
hex67281f7b8

27690923960 has 128 divisors (see below), whose sum is σ = 75485675520. Its totient is φ = 8924669952.

The previous prime is 27690923957. The next prime is 27690923983. The reversal of 27690923960 is 6932909672.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4504649 + ... + 4510791.

It is an arithmetic number, because the mean of its divisors is an integer number (589731840).

Almost surely, 227690923960 is an apocalyptic number.

27690923960 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 27690923960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37742837760).

27690923960 is an abundant number, since it is smaller than the sum of its proper divisors (47794751560).

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

27690923960 is a wasteful number, since it uses less digits than its factorization.

27690923960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7125 (or 7121 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 53.

The spelling of 27690923960 in words is "twenty-seven billion, six hundred ninety million, nine hundred twenty-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 947 952 1190 1894 2380 3788 4735 4760 6143 6629 7576 9470 12286 13258 16099 18940 24572 26516 30715 32198 33145 37880 43001 49144 53032 61430 64396 66290 80495 86002 104431 112693 122860 128792 132580 160990 172004 208862 215005 225386 245720 265160 321980 344008 417724 430010 450772 522155 563465 643960 731017 835448 860020 901544 1044310 1126930 1462034 1720040 2088620 2253860 2924068 3655085 4177240 4507720 5817421 5848136 7310170 11634842 14620340 23269684 29087105 29240680 40721947 46539368 58174210 81443894 98896157 116348420 162887788 197792314 203609735 232696840 325775576 395584628 407219470 494480785 692273099 791169256 814438940 988961570 1384546198 1628877880 1977923140 2769092396 3461365495 3955846280 5538184792 6922730990 13845461980 27690923960