Search a number
-
+
21214060626 = 23112323491741
BaseRepresentation
bin10011110000011101…
…001110000001010010
32000202102222221100010
4103300131032001102
5321421244420001
613425014535350
71350463353153
oct236035160122
960672887303
1021214060626
118aa6869810
124140667556
132001082cc5
14105363592a
158426328d6
hex4f074e052

21214060626 has 96 divisors (see below), whose sum is σ = 48551630400. Its totient is φ = 6127862400.

The previous prime is 21214060613. The next prime is 21214060661. The reversal of 21214060626 is 62606041212.

It is a junction number, because it is equal to n+sod(n) for n = 21214060593 and 21214060602.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12184116 + ... + 12185856.

It is an arithmetic number, because the mean of its divisors is an integer number (505746150).

Almost surely, 221214060626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21214060626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24275815200).

21214060626 is an abundant number, since it is smaller than the sum of its proper divisors (27337569774).

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

21214060626 is a wasteful number, since it uses less digits than its factorization.

21214060626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 21214060626 in words is "twenty-one billion, two hundred fourteen million, sixty thousand, six hundred twenty-six".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 349 506 529 698 759 1047 1058 1518 1587 1741 2094 3174 3482 3839 5223 5819 7678 8027 10446 11517 11638 16054 17457 19151 23034 24081 34914 38302 40043 48162 57453 80086 88297 114906 120129 176594 184621 240258 264891 369242 440473 529782 553863 607609 880946 920989 1107726 1215218 1321419 1822827 1841978 2030831 2642838 2762967 3645654 4061662 5525934 6092493 6683699 10130879 12184986 13367398 13975007 20051097 20261758 27950014 30392637 40102194 41925021 60785274 83850042 153725077 307450154 321425161 461175231 642850322 922350462 964275483 1928550966 3535676771 7071353542 10607030313 21214060626