Search a number
-
+
202134066680 = 235713349115907
BaseRepresentation
bin1011110001000000100…
…0010001010111111000
3201022202001220111122002
42330100020101113320
511302432310113210
6232505322320132
720414033134520
oct2742010212770
9638661814562
10202134066680
11787a7458077
1233212359048
13160a44a7020
149ad76b8680
1553d09ba4a5
hex2f102115f8

202134066680 has 128 divisors (see below), whose sum is σ = 559951418880. Its totient is φ = 63949754880.

The previous prime is 202134066677. The next prime is 202134066697. The reversal of 202134066680 is 86660431202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12699287 + ... + 12715193.

It is an arithmetic number, because the mean of its divisors is an integer number (4374620460).

Almost surely, 2202134066680 is an apocalyptic number.

202134066680 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 202134066680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279975709440).

202134066680 is an abundant number, since it is smaller than the sum of its proper divisors (357817352200).

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

202134066680 is a wasteful number, since it uses less digits than its factorization.

202134066680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19429 (or 19425 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

Adding to 202134066680 its reverse (86660431202), we get a palindrome (288794497882).

The spelling of 202134066680 in words is "two hundred two billion, one hundred thirty-four million, sixty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3491 3640 6982 13964 15907 17455 24437 27928 31814 34910 45383 48874 63628 69820 79535 90766 97748 111349 122185 127256 139640 159070 181532 195496 206791 222698 226915 244370 317681 318140 363064 413582 445396 453830 488740 556745 635362 636280 827164 890792 907660 977480 1033955 1113490 1270724 1447537 1588405 1654328 1815320 2067910 2226980 2541448 2895074 3176810 4135820 4453960 5790148 6353620 7237685 8271640 11580296 12707240 14475370 28950740 55531337 57901480 111062674 222125348 277656685 388719359 444250696 555313370 721907381 777438718 1110626740 1443814762 1554877436 1943596795 2221253480 2887629524 3109754872 3609536905 3887193590 5053351667 5775259048 7219073810 7774387180 10106703334 14438147620 15548774360 20213406668 25266758335 28876295240 40426813336 50533516670 101067033340 202134066680