Search a number
-
+
31998000032 = 251758819853
BaseRepresentation
bin11101110011001110…
…101011101110100000
310001120222212211011022
4131303032223232200
51011012442000112
622411044105012
72211640340555
oct356316535640
9101528784138
1031998000032
1112630045029
126250095168
13302c2bc03b
141797942a2c
15c74243d72
hex7733abba0

31998000032 has 24 divisors (see below), whose sum is σ = 66701714436. Its totient is φ = 15057882112.

The previous prime is 31998000031. The next prime is 31998000053. The reversal of 31998000032 is 23000089913.

It can be written as a sum of positive squares in 2 ways, for example, as 31200276496 + 797723536 = 176636^2 + 28244^2 .

It is a junction number, because it is equal to n+sod(n) for n = 31997999956 and 31998000001.

It is not an unprimeable number, because it can be changed into a prime (31998000031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29409383 + ... + 29410470.

Almost surely, 231998000032 is an apocalyptic number.

31998000032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31998000032 is an abundant number, since it is smaller than the sum of its proper divisors (34703714404).

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

31998000032 is a wasteful number, since it uses less digits than its factorization.

31998000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58819880 (or 58819872 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

Adding to 31998000032 its reverse (23000089913), we get a palindrome (54998089945).

The spelling of 31998000032 in words is "thirty-one billion, nine hundred ninety-eight million, thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 58819853 117639706 235279412 470558824 941117648 999937501 1882235296 1999875002 3999750004 7999500008 15999000016 31998000032