Search a number
-
+
21499655699412 = 223211101537545147
BaseRepresentation
bin1001110001101110001110…
…10101110011101111010100
32211010100100222020100202200
410320313013111303233110
510304222243324340122
6113420445552204500
74346204340111432
oct470670725635724
984110328210680
1021499655699412
116939a53169290
1224b293b239730
13bcc54128b387
14544835ca1d52
152743c6dc05ac
hex138dc7573bd4

21499655699412 has 72 divisors (see below), whose sum is σ = 59873928764832. Its totient is φ = 6450541752000.

The previous prime is 21499655699411. The next prime is 21499655699441.

21499655699412 is a `hidden beast` number, since 2 + 1 + 4 + 99 + 65 + 5 + 69 + 9 + 412 = 666.

21499655699412 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21499655699411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268732578 + ... + 268812569.

It is an arithmetic number, because the mean of its divisors is an integer number (831582343956).

Almost surely, 221499655699412 is an apocalyptic number.

21499655699412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21499655699412 is an abundant number, since it is smaller than the sum of its proper divisors (38374273065420).

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

21499655699412 is a wasteful number, since it uses less digits than its factorization.

21499655699412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537545269 (or 537545264 counting only the distinct ones).

The product of its digits is 377913600, while the sum is 72.

The spelling of 21499655699412 in words is "twenty-one trillion, four hundred ninety-nine billion, six hundred fifty-five million, six hundred ninety-nine thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 101 132 198 202 303 396 404 606 909 1111 1212 1818 2222 3333 3636 4444 6666 9999 13332 19998 39996 537545147 1075090294 1612635441 2150180588 3225270882 4837906323 5912996617 6450541764 9675812646 11825993234 17738989851 19351625292 23651986468 35477979702 53216969553 54292059847 70955959404 106433939106 108584119694 162876179541 212867878212 217168239388 325752359082 488628538623 597212658317 651504718164 977257077246 1194425316634 1791637974951 1954514154492 2388850633268 3583275949902 5374913924853 7166551899804 10749827849706 21499655699412