Search a number
-
+
21833513496 = 2333971079739
BaseRepresentation
bin10100010101011000…
…001111101000011000
32002100121121101221000
4110111120033220120
5324203334412441
614010303545000
71402024542204
oct242530175030
962317541830
1021833513496
1192944a3933
124293bbb160
13209c4ccc72
1410b1a03b04
1587bbe42b6
hex51560fa18

21833513496 has 128 divisors (see below), whose sum is σ = 61852896000. Its totient is φ = 7134759936.

The previous prime is 21833513447. The next prime is 21833513503. The reversal of 21833513496 is 69431533812.

21833513496 is a `hidden beast` number, since 2 + 18 + 33 + 513 + 4 + 96 = 666.

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, 2236995 + ... + 2246733.

It is an arithmetic number, because the mean of its divisors is an integer number (483225750).

Almost surely, 221833513496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21833513496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30926448000).

21833513496 is an abundant number, since it is smaller than the sum of its proper divisors (40019382504).

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

21833513496 is a wasteful number, since it uses less digits than its factorization.

21833513496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9958 (or 9948 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 21833513496 in words is "twenty-one billion, eight hundred thirty-three million, five hundred thirteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 97 107 108 194 214 216 291 321 388 428 582 642 776 856 873 963 1164 1284 1746 1926 2328 2568 2619 2889 3492 3852 5238 5778 6984 7704 9739 10379 10476 11556 19478 20758 20952 23112 29217 31137 38956 41516 58434 62274 77912 83032 87651 93411 116868 124548 175302 186822 233736 249096 262953 280233 350604 373644 525906 560466 701208 747288 944683 1042073 1051812 1120932 1889366 2084146 2103624 2241864 2834049 3126219 3778732 4168292 5668098 6252438 7557464 8336584 8502147 9378657 11336196 12504876 17004294 18757314 22672392 25009752 25506441 28135971 34008588 37514628 51012882 56271942 68017176 75029256 101081081 102025764 112543884 202162162 204051528 225087768 303243243 404324324 606486486 808648648 909729729 1212972972 1819459458 2425945944 2729189187 3638918916 5458378374 7277837832 10916756748 21833513496