Search a number
-
+
21803630328 = 2333101999433
BaseRepresentation
bin10100010011100110…
…001111111011111000
32002021112101011221000
4110103212033323320
5324123212132303
614003315245000
71401212541234
oct242346177370
962245334830
1021803630328
1192796431a7
124285ba9760
13209626920c
1410aba655c4
1587928eda3
hex51398fef8

21803630328 has 64 divisors (see below), whose sum is σ = 61165360800. Its totient is φ = 7195910400.

The previous prime is 21803630327. The next prime is 21803630339. The reversal of 21803630328 is 82303630812.

21803630328 is a `hidden beast` number, since 2 + 18 + 0 + 3 + 630 + 3 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21803630292 and 21803630301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21803630323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477901 + ... + 521532.

Almost surely, 221803630328 is an apocalyptic number.

It is an amenable number.

21803630328 is an abundant number, since it is smaller than the sum of its proper divisors (39361730472).

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

21803630328 is a wasteful number, since it uses less digits than its factorization.

21803630328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999549 (or 999539 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 21803630328 in words is "twenty-one billion, eight hundred three million, six hundred thirty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 101 108 202 216 303 404 606 808 909 1212 1818 2424 2727 3636 5454 7272 10908 21816 999433 1998866 2998299 3997732 5996598 7995464 8994897 11993196 17989794 23986392 26984691 35979588 53969382 71959176 100942733 107938764 201885466 215877528 302828199 403770932 605656398 807541864 908484597 1211312796 1816969194 2422625592 2725453791 3633938388 5450907582 7267876776 10901815164 21803630328