Search a number
-
+
27828839330320 = 245752395017889
BaseRepresentation
bin1100101001111011010000…
…00101010011001000010000
310122112102002122211222220211
412110331220011103020100
512121421430332032240
6135104220423013504
75601365403243310
oct624755005231020
9118472078758824
1027828839330320
11895a16533a866
1231554b9b9a294
13126b32c64a412
146c2ccca51440
15333d5a633bea
hex194f68153210

27828839330320 has 80 divisors (see below), whose sum is σ = 74086589047680. Its totient is φ = 9523072806912.

The previous prime is 27828839330293. The next prime is 27828839330339. The reversal of 27828839330320 is 2303393882872.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47216065 + ... + 47801824.

It is an arithmetic number, because the mean of its divisors is an integer number (926082363096).

Almost surely, 227828839330320 is an apocalyptic number.

27828839330320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27828839330320 is an abundant number, since it is smaller than the sum of its proper divisors (46257749717360).

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

27828839330320 is a wasteful number, since it uses less digits than its factorization.

27828839330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95018432 (or 95018426 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 58.

The spelling of 27828839330320 in words is "twenty-seven trillion, eight hundred twenty-eight billion, eight hundred thirty-nine million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 523 560 1046 2092 2615 3661 4184 5230 7322 8368 10460 14644 18305 20920 29288 36610 41840 58576 73220 146440 292880 95017889 190035778 380071556 475089445 665125223 760143112 950178890 1330250446 1520286224 1900357780 2660500892 3325626115 3800715560 5321001784 6651252230 7601431120 10642003568 13302504460 26605008920 49694355947 53210017840 99388711894 198777423788 248471779735 347860491629 397554847576 496943559470 695720983258 795109695152 993887118940 1391441966516 1739302458145 1987774237880 2782883933032 3478604916290 3975548475760 5565767866064 6957209832580 13914419665160 27828839330320