Search a number
-
+
33260632141 = 11175315112221
BaseRepresentation
bin11110111110011111…
…001111100001001101
310011211222202011210111
4132332133033201031
51021104210212031
623140230440021
72255141465002
oct367637174115
9104758664714
1033260632141
111311883a240
126542b03011
1331a0a72529
1418774d78a9
15cea0021b1
hex7be7cf84d

33260632141 has 32 divisors (see below), whose sum is σ = 39187120896. Its totient is φ = 27890304000.

The previous prime is 33260632133. The next prime is 33260632231. The reversal of 33260632141 is 14123606233.

It is a cyclic number.

It is not a de Polignac number, because 33260632141 - 23 = 33260632133 is a prime.

It is a super-2 number, since 2×332606321412 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33260636141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14974411 + ... + 14976631.

It is an arithmetic number, because the mean of its divisors is an integer number (1224597528).

Almost surely, 233260632141 is an apocalyptic number.

It is an amenable number.

33260632141 is a deficient number, since it is larger than the sum of its proper divisors (5926488755).

33260632141 is a wasteful number, since it uses less digits than its factorization.

33260632141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3813.

The product of its (nonzero) digits is 15552, while the sum is 31.

The spelling of 33260632141 in words is "thirty-three billion, two hundred sixty million, six hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 11 17 53 187 583 901 1511 2221 9911 16621 24431 25687 37757 80083 117713 282557 415327 880913 1294843 1361411 2001121 3355931 14975521 22012331 36915241 57050827 177864343 627559097 1956507773 3023693831 33260632141