Search a number
-
+
133027467344 = 24233122352291
BaseRepresentation
bin111101111100100001…
…1100001000001010000
3110201100220122112001222
41323321003201001100
54134420012423334
6141040104144212
712416354546522
oct1737103410120
9421326575058
10133027467344
11514645a0162
1221946768068
13c710185325
14661d5c1a12
1536d8a30d2e
hex1ef90e1050

133027467344 has 80 divisors (see below), whose sum is σ = 278872817664. Its totient is φ = 61292246400.

The previous prime is 133027467343. The next prime is 133027467347. The reversal of 133027467344 is 443764720331.

It is a junction number, because it is equal to n+sod(n) for n = 133027467295 and 133027467304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133027467343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2517839 + ... + 2570129.

Almost surely, 2133027467344 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 133027467344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139436408832).

133027467344 is an abundant number, since it is smaller than the sum of its proper divisors (145845350320).

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

133027467344 is a wasteful number, since it uses less digits than its factorization.

133027467344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52576 (or 52570 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 44.

The spelling of 133027467344 in words is "one hundred thirty-three billion, twenty-seven million, four hundred sixty-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 23 31 46 62 92 124 184 223 248 368 446 496 713 892 1426 1784 2852 3568 5129 5704 6913 10258 11408 13826 20516 27652 41032 52291 55304 82064 104582 110608 158999 209164 317998 418328 635996 836656 1202693 1271992 1621021 2405386 2543984 3242042 4810772 6484084 9621544 11660893 12968168 19243088 23321786 25936336 37283483 46643572 74566966 93287144 149133932 186574288 268200539 298267864 361487683 536401078 596535728 722975366 1072802156 1445950732 2145604312 2891901464 4291208624 5783802928 8314216709 16628433418 33256866836 66513733672 133027467344