Search a number
-
+
37830323336 = 231324111091361
BaseRepresentation
bin100011001110110111…
…001110110010001000
310121122110102112122112
4203032313032302020
51104434030321321
625213511041452
72506320304601
oct431667166210
9117573375575
1037830323336
111505325a933
1273b9370288
13374b70a110
141b8c384da8
15eb62a9a5b
hex8cedcec88

37830323336 has 64 divisors (see below), whose sum is σ = 76830692400. Its totient is φ = 17359257600.

The previous prime is 37830323281. The next prime is 37830323353. The reversal of 37830323336 is 63332303873.

37830323336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1690032100 + 36140291236 = 41110^2 + 190106^2 .

It is a super-2 number, since 2×378303233362 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 37830323293 and 37830323302.

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, 27795296 + ... + 27796656.

Almost surely, 237830323336 is an apocalyptic number.

It is an amenable number.

37830323336 is an abundant number, since it is smaller than the sum of its proper divisors (39000369064).

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

37830323336 is a wasteful number, since it uses less digits than its factorization.

37830323336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 41.

The spelling of 37830323336 in words is "thirty-seven billion, eight hundred thirty million, three hundred twenty-three thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 26 52 104 241 482 964 1109 1361 1928 2218 2722 3133 4436 5444 6266 8872 10888 12532 14417 17693 25064 28834 35386 57668 70772 115336 141544 267269 328001 534538 656002 1069076 1312004 1509349 2138152 2624008 3018698 3474497 4264013 6037396 6948994 8528026 12074792 13897988 17056052 19621537 27795976 34112104 39243074 78486148 156972296 363753109 727506218 1455012436 2910024872 4728790417 9457580834 18915161668 37830323336