Search a number
-
+
2675059968 = 28371034831
BaseRepresentation
bin1001111101110010…
…0010110100000000
320220102121010102010
42133130202310000
520434303404333
61121235452520
7123201430440
oct23734426400
96812533363
102675059968
111153002169
12627a57140
13338293929
141b53c0120
15109caa563
hex9f722d00

2675059968 has 144 divisors (see below), whose sum is σ = 8217337856. Its totient is φ = 756725760.

The previous prime is 2675059949. The next prime is 2675059991. The reversal of 2675059968 is 8699505762.

It is a super-2 number, since 2×26750599682 = 14311891664792322048, which contains 22 as substring.

It is a congruent number.

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, 551313 + ... + 556143.

Almost surely, 22675059968 is an apocalyptic number.

2675059968 is a gapful number since it is divisible by the number (28) 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 2675059968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108668928).

2675059968 is an abundant number, since it is smaller than the sum of its proper divisors (5542277888).

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

2675059968 is a wasteful number, since it uses less digits than its factorization.

2675059968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4960 (or 4946 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 57.

The square root of 2675059968 is about 51720.9818932317. The cubic root of 2675059968 is about 1388.1759224677.

The spelling of 2675059968 in words is "two billion, six hundred seventy-five million, fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 103 112 128 168 192 206 224 256 309 336 384 412 448 618 672 721 768 824 896 1236 1344 1442 1648 1792 2163 2472 2688 2884 3296 4326 4831 4944 5376 5768 6592 8652 9662 9888 11536 13184 14493 17304 19324 19776 23072 26368 28986 33817 34608 38648 39552 46144 57972 67634 69216 77296 79104 92288 101451 115944 135268 138432 154592 184576 202902 231888 270536 276864 309184 405804 463776 497593 541072 553728 618368 811608 927552 995186 1082144 1236736 1492779 1623216 1855104 1990372 2164288 2985558 3246432 3483151 3710208 3980744 4328576 5971116 6492864 6966302 7961488 8657152 10449453 11942232 12985728 13932604 15922976 20898906 23884464 25971456 27865208 31845952 41797812 47768928 55730416 63691904 83595624 95537856 111460832 127383808 167191248 191075712 222921664 334382496 382151424 445843328 668764992 891686656 1337529984 2675059968