Search a number
-
+
31838775232 = 2611233194101
BaseRepresentation
bin11101101001101111…
…010010011111000000
310001011220021100210111
4131221233102133000
51010201211301412
622343155241104
72204665060405
oct355157223700
9101156240714
1031838775232
1112559182090
1262068a9194
133005310394
1417807362ac
15c652912a7
hex769bd27c0

31838775232 has 56 divisors (see below), whose sum is σ = 69219878832. Its totient is φ = 14409984000.

The previous prime is 31838775223. The next prime is 31838775233. The reversal of 31838775232 is 23257783813.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31838775233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66982 + ... + 261082.

Almost surely, 231838775232 is an apocalyptic number.

31838775232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31838775232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34609939416).

31838775232 is an abundant number, since it is smaller than the sum of its proper divisors (37381103600).

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

31838775232 is a wasteful number, since it uses less digits than its factorization.

31838775232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194357 (or 194347 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 49.

The spelling of 31838775232 in words is "thirty-one billion, eight hundred thirty-eight million, seven hundred seventy-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 233 352 466 704 932 1864 2563 3728 5126 7456 10252 14912 20504 41008 82016 164032 194101 388202 776404 1552808 2135111 3105616 4270222 6211232 8540444 12422464 17080888 34161776 45225533 68323552 90451066 136647104 180902132 361804264 497480863 723608528 994961726 1447217056 1989923452 2894434112 3979846904 7959693808 15919387616 31838775232