Search a number
-
+
33011150040 = 233251131726297
BaseRepresentation
bin11110101111100111…
…100010110011011000
310011012121022011200200
4132233213202303120
51020101323300130
623055355302200
72246022100641
oct365747426330
9104177264620
1033011150040
1112aaaa2a690
12649344a960
13316118179b
1418523146c8
15cd3171760
hex7af9e2cd8

33011150040 has 192 divisors, whose sum is σ = 117413206560. Its totient is φ = 7977154560.

The previous prime is 33011149987. The next prime is 33011150071. The reversal of 33011150040 is 4005111033.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 33011149995 and 33011150022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1242172 + ... + 1268468.

Almost surely, 233011150040 is an apocalyptic number.

33011150040 is a gapful number since it is divisible by the number (30) 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 33011150040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58706603280).

33011150040 is an abundant number, since it is smaller than the sum of its proper divisors (84402056520).

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

33011150040 is a wasteful number, since it uses less digits than its factorization.

33011150040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26642 (or 26635 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 33011150040 its reverse (4005111033), we get a palindrome (37016261073).

The spelling of 33011150040 in words is "thirty-three billion, eleven million, one hundred fifty thousand, forty".