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133738779356 = 227213219212501
BaseRepresentation
bin111110010001101110…
…0111101001011011100
3110210012111002220201022
41330203130331023130
54142344111414411
6141234434103312
712443112603500
oct1744334751334
9423174086638
10133738779356
115179a066426
1221b04a1ab38
13c7c4655500
146689c62300
15372b1d9edb
hex1f2373d2dc

133738779356 has 108 divisors (see below), whose sum is σ = 310325170680. Its totient is φ = 50122800000.

The previous prime is 133738779281. The next prime is 133738779359. The reversal of 133738779356 is 653977837331.

133738779356 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1337387793562 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133738779359) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 523106 + ... + 735606.

It is an arithmetic number, because the mean of its divisors is an integer number (2873381210).

Almost surely, 2133738779356 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 133738779356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155162585340).

133738779356 is an abundant number, since it is smaller than the sum of its proper divisors (176586391324).

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

133738779356 is a wasteful number, since it uses less digits than its factorization.

133738779356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212564 (or 212542 counting only the distinct ones).

The product of its digits is 60011280, while the sum is 62.

The spelling of 133738779356 in words is "one hundred thirty-three billion, seven hundred thirty-eight million, seven hundred seventy-nine thousand, three hundred fifty-six".

Divisors: 1 2 4 7 13 14 19 26 28 38 49 52 76 91 98 133 169 182 196 247 266 338 364 494 532 637 676 931 988 1183 1274 1729 1862 2366 2548 3211 3458 3724 4732 6422 6916 8281 12103 12844 16562 22477 24206 33124 44954 48412 89908 157339 212501 314678 425002 629356 850004 1487507 2762513 2975014 4037519 5525026 5950028 8075038 10412549 11050052 16150076 19337591 20825098 28262633 35912669 38675182 41650196 52487747 56525266 71825338 77350364 104975494 113050532 135363137 143650676 197838431 209950988 251388683 270726274 367414229 395676862 502777366 541452548 682340711 734828458 791353724 1005554732 1364681422 1469656916 1759720781 2571899603 2729362844 3519441562 4776384977 5143799206 7038883124 9552769954 10287598412 19105539908 33434694839 66869389678 133738779356