Search a number
-
+
21180163356 = 223211319911741
BaseRepresentation
bin10011101110011011…
…111010010100011100
32000200002012210000200
4103232123322110130
5321334110211411
613421404223500
71346602263252
oct235633722434
960602183020
1021180163356
118a89717240
12413123ab90
131cc7045151
14104cd305d2
1583e688e56
hex4ee6fa51c

21180163356 has 144 divisors (see below), whose sum is σ = 60385468416. Its totient is φ = 6201360000.

The previous prime is 21180163351. The next prime is 21180163397. The reversal of 21180163356 is 65336108112.

21180163356 is a `hidden beast` number, since 2 + 1 + 18 + 0 + 1 + 633 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 21180163356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21180163351) 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, 12164646 + ... + 12166386.

Almost surely, 221180163356 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 21180163356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30192734208).

21180163356 is an abundant number, since it is smaller than the sum of its proper divisors (39205305060).

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

21180163356 is a wasteful number, since it uses less digits than its factorization.

21180163356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 21180163356 in words is "twenty-one billion, one hundred eighty million, one hundred sixty-three thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 372 396 558 682 991 1023 1116 1364 1741 1982 2046 2973 3069 3482 3964 4092 5223 5946 6138 6964 8919 10446 10901 11892 12276 15669 17838 19151 20892 21802 30721 31338 32703 35676 38302 43604 53971 57453 61442 62676 65406 76604 92163 98109 107942 114906 122884 130812 161913 172359 184326 196218 215884 229812 276489 323826 337931 344718 368652 392436 485739 552978 593681 647652 675862 689436 971478 1013793 1105956 1187362 1351724 1725331 1781043 1942956 2027586 2374724 3041379 3450662 3562086 4055172 5175993 5343129 6082758 6901324 7124172 10351986 10686258 12165516 15527979 18978641 20703972 21372516 31055958 37957282 53485261 56935923 62111916 75914564 106970522 113871846 160455783 170807769 213941044 227743692 320911566 341615538 481367349 588337871 641823132 683231076 962734698 1176675742 1765013613 1925469396 2353351484 3530027226 5295040839 7060054452 10590081678 21180163356