Search a number
-
+
33968986520 = 2357121317809
BaseRepresentation
bin11111101000101101…
…011001100110011000
310020200100122022022212
4133220231121212120
51024032030032040
623334413134252
72311532423060
oct375055314630
9106610568285
1033968986520
1113451675387
12670018a388
133284748431
1419036083a0
15d3c2c4d65
hex7e8b59998

33968986520 has 32 divisors (see below), whose sum is σ = 87348823200. Its totient is φ = 11646509568.

The previous prime is 33968986517. The next prime is 33968986523. The reversal of 33968986520 is 2568986933.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33968986517) and next prime (33968986523).

It is a self number, because there is not a number n which added to its sum of digits gives 33968986520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33968986523) 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, 60658625 + ... + 60659184.

It is an arithmetic number, because the mean of its divisors is an integer number (2729650725).

Almost surely, 233968986520 is an apocalyptic number.

It is an amenable number.

33968986520 is an abundant number, since it is smaller than the sum of its proper divisors (53379836680).

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

33968986520 is a wasteful number, since it uses less digits than its factorization.

33968986520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121317827 (or 121317823 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 59.

The spelling of 33968986520 in words is "thirty-three billion, nine hundred sixty-eight million, nine hundred eighty-six thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 121317809 242635618 485271236 606589045 849224663 970542472 1213178090 1698449326 2426356180 3396898652 4246123315 4852712360 6793797304 8492246630 16984493260 33968986520