Search a number
-
+
21530454435 = 32574111314753
BaseRepresentation
bin10100000011010100…
…001010100110100011
32001120111100102001100
4110003110022212203
5323043244020220
613520240205443
71361354562120
oct240324124643
961514312040
1021530454435
1191494200a6
12420a609883
1320517a0989
141083675747
158602cdd90
hex50350a9a3

21530454435 has 96 divisors (see below), whose sum is σ = 44080702848. Its totient is φ = 9516810240.

The previous prime is 21530454391. The next prime is 21530454469. The reversal of 21530454435 is 53445403512.

21530454435 is a `hidden beast` number, since 215 + 3 + 0 + 4 + 5 + 4 + 435 = 666.

It is not a de Polignac number, because 21530454435 - 210 = 21530453411 is a prime.

It is a super-2 number, since 2×215304544352 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21530454435.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1452019 + ... + 1466771.

It is an arithmetic number, because the mean of its divisors is an integer number (459173988).

Almost surely, 221530454435 is an apocalyptic number.

21530454435 is an abundant number, since it is smaller than the sum of its proper divisors (22550248413).

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

21530454435 is a wasteful number, since it uses less digits than its factorization.

21530454435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14925 (or 14922 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 21530454435 its reverse (53445403512), we get a palindrome (74975857947).

The spelling of 21530454435 in words is "twenty-one billion, five hundred thirty million, four hundred fifty-four thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 41 45 63 105 113 123 205 287 315 339 369 565 615 791 861 1017 1435 1695 1845 2373 2583 3955 4305 4633 5085 7119 11865 12915 13899 14753 23165 32431 35595 41697 44259 69495 73765 97293 103271 132777 162155 208485 221295 291879 309813 486465 516355 604873 663885 929439 1459395 1549065 1667089 1814619 3024365 4234111 4647195 5001267 5443857 8335445 9073095 11669623 12702333 15003801 21170555 25006335 27219285 35008869 38106999 58348115 63511665 68350649 75019005 105026607 175044345 190534995 205051947 341753245 478454543 525133035 615155841 1025259735 1435363629 2392272715 3075779205 4306090887 7176818145 21530454435