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6136213020 = 2235719240471
BaseRepresentation
bin1011011011011111…
…10010111000011100
3120211122100220210220
411231233302320130
5100031332304040
62452520201340
7305026643610
oct55557627034
916748326726
106136213020
112669806733
121233009250
1376a37b4a2
14422d49340
1525da922d0
hex16dbf2e1c

6136213020 has 144 divisors (see below), whose sum is σ = 20724254208. Its totient is φ = 1328711040.

The previous prime is 6136213007. The next prime is 6136213021. The reversal of 6136213020 is 203126316.

It is a happy number.

It is a super-2 number, since 2×61362130202 = 75306220453635040800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6136213021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131385 + ... + 171855.

It is an arithmetic number, because the mean of its divisors is an integer number (143918432).

Almost surely, 26136213020 is an apocalyptic number.

6136213020 is a gapful number since it is divisible by the number (60) 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 6136213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10362127104).

6136213020 is an abundant number, since it is smaller than the sum of its proper divisors (14588041188).

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

6136213020 is a wasteful number, since it uses less digits than its factorization.

6136213020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40528 (or 40507 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 6136213020 is about 78333.9838129020. The cubic root of 6136213020 is about 1830.7686877890.

Adding to 6136213020 its reverse (203126316), we get a palindrome (6339339336).

The spelling of 6136213020 in words is "six billion, one hundred thirty-six million, two hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 361 380 399 420 532 570 665 722 798 1083 1140 1330 1444 1596 1805 1995 2166 2527 2660 3610 3990 4332 5054 5415 7220 7581 7980 10108 10830 12635 15162 21660 25270 30324 37905 40471 50540 75810 80942 121413 151620 161884 202355 242826 283297 404710 485652 566594 607065 768949 809420 849891 1133188 1214130 1416485 1537898 1699782 2306847 2428260 2832970 3075796 3399564 3844745 4249455 4613694 5382643 5665940 7689490 8498910 9227388 10765286 11534235 14610031 15378980 16147929 16997820 21530572 23068470 26913215 29220062 32295858 43830093 46136940 53826430 58440124 64591716 73050155 80739645 87660186 102270217 107652860 146100310 161479290 175320372 204540434 219150465 292200620 306810651 322958580 409080868 438300930 511351085 613621302 876601860 1022702170 1227242604 1534053255 2045404340 3068106510 6136213020