Search a number
-
+
21375137757776 = 24112109211480059
BaseRepresentation
bin1001101110000110010010…
…11111100011101001010000
32210200102222002202112110112
410313003021133203221100
510300202240231222101
6113243334104420452
74334205561061505
oct467031137435120
983612862675415
1021375137757776
1168a1166019800
12249278a477728
13bc0889087c7a
1453c7c28dd4ac
1527103a4856bb
hex1370c97e3a50

21375137757776 has 120 divisors (see below), whose sum is σ = 46156981701600. Its totient is φ = 9581189587200.

The previous prime is 21375137757769. The next prime is 21375137757821. The reversal of 21375137757776 is 67775773157312.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44286035 + ... + 44766093.

It is an arithmetic number, because the mean of its divisors is an integer number (384641514180).

Almost surely, 221375137757776 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 21375137757776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23078490850800).

21375137757776 is an abundant number, since it is smaller than the sum of its proper divisors (24781843943824).

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

21375137757776 is a wasteful number, since it uses less digits than its factorization.

21375137757776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480409 (or 480392 counting only the distinct ones).

The product of its digits is 317652300, while the sum is 68.

The spelling of 21375137757776 in words is "twenty-one trillion, three hundred seventy-five billion, one hundred thirty-seven million, seven hundred fifty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 44 88 109 121 176 211 218 242 422 436 484 844 872 968 1199 1688 1744 1936 2321 2398 3376 4642 4796 9284 9592 13189 18568 19184 22999 25531 26378 37136 45998 51062 52756 91996 102124 105512 183992 204248 211024 252989 367984 408496 480059 505978 960118 1011956 1920236 2023912 2782879 3840472 4047824 5280649 5565758 7680944 10561298 11131516 21122596 22263032 42245192 44526064 52326431 58087139 84490384 101292449 104652862 116174278 202584898 209305724 232348556 405169796 418611448 464697112 575590741 810339592 837222896 929394224 1114216939 1151181482 1620679184 2228433878 2302362964 4456867756 4604725928 6331498151 8913735512 9209451856 11040876941 12256386329 12662996302 17827471024 22081753882 24512772658 25325992604 44163507764 49025545316 50651985208 88327015528 98051090632 101303970416 121449646351 176654031056 196102181264 242899292702 485798585404 971597170808 1335946109861 1943194341616 2671892219722 5343784439444 10687568878888 21375137757776