Search a number
-
+
10533776040 = 2332529260489
BaseRepresentation
bin10011100111101110…
…01010101010101000
31000012010011021012100
421303313022222220
5133033121313130
64501131213400
7522015422214
oct116367125250
930163137170
1010533776040
114516050937
12205b8a7260
13cbb46a198
1471cdcb944
15419b98c60
hex273dcaaa8

10533776040 has 48 divisors (see below), whose sum is σ = 34234773300. Its totient is φ = 2809006848.

The previous prime is 10533776039. The next prime is 10533776081. The reversal of 10533776040 is 4067733501.

10533776040 is a `hidden beast` number, since 10 + 5 + 3 + 37 + 7 + 604 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9821206404 + 712569636 = 99102^2 + 26694^2 .

It is a super-2 number, since 2×105337760402 (a number of 21 digits) contains 22 as substring.

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 = 10533775986 and 10533776004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14629885 + ... + 14630604.

Almost surely, 210533776040 is an apocalyptic number.

10533776040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10533776040 is an abundant number, since it is smaller than the sum of its proper divisors (23700997260).

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

10533776040 is a wasteful number, since it uses less digits than its factorization.

10533776040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29260506 (or 29260499 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 10533776040 in words is "ten billion, five hundred thirty-three million, seven hundred seventy-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 29260489 58520978 87781467 117041956 146302445 175562934 234083912 263344401 292604890 351125868 438907335 526688802 585209780 702251736 877814670 1053377604 1170419560 1316722005 1755629340 2106755208 2633444010 3511258680 5266888020 10533776040