Search a number
-
+
29533415964 = 223131813073407
BaseRepresentation
bin11011100000010101…
…000010101000011100
32211020020022222101220
4123200111002220130
5440441023302324
621322323333340
72063602615353
oct334025025034
984206288356
1029533415964
1111585930598
125882821250
132a2880ca80
1416024b099a
15b7cbb1b79
hex6e0542a1c

29533415964 has 96 divisors (see below), whose sum is σ = 74887228416. Its totient is φ = 9004919040.

The previous prime is 29533415957. The next prime is 29533415993. The reversal of 29533415964 is 46951433592.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8666749 + ... + 8670155.

It is an arithmetic number, because the mean of its divisors is an integer number (780075296).

Almost surely, 229533415964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29533415964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37443614208).

29533415964 is an abundant number, since it is smaller than the sum of its proper divisors (45353812452).

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

29533415964 is a wasteful number, since it uses less digits than its factorization.

29533415964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3915 (or 3913 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 51.

The spelling of 29533415964 in words is "twenty-nine billion, five hundred thirty-three million, four hundred fifteen thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 181 307 362 543 614 724 921 1086 1228 1842 2172 2353 3407 3684 3991 4706 6814 7059 7982 9412 10221 11973 13628 14118 15964 20442 23946 28236 40884 44291 47892 55567 88582 111134 132873 166701 177164 222268 265746 333402 531492 616667 666804 722371 1045949 1233334 1444742 1850001 2091898 2167113 2466668 2889484 3137847 3700002 4183796 4334226 6275694 7400004 8016671 8668452 12551388 13597337 16033342 24050013 27194674 32066684 40792011 48100026 54389348 81584022 96200052 163168044 189316769 378633538 567950307 757267076 1135900614 2271801228 2461117997 4922235994 7383353991 9844471988 14766707982 29533415964