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133022326528 = 2871312914423
BaseRepresentation
bin111101111100010111…
…1111001111100000000
3110201100112222100012101
41323320233321330000
54134412203422103
6141035402040144
712416263055650
oct1737057717400
9421315870171
10133022326528
11514616a9853
1221944aa9054
13c70c0a5420
14661ca44360
1536d8367a1d
hex1ef8bf9f00

133022326528 has 144 divisors (see below), whose sum is σ = 327127123456. Its totient is φ = 52571566080.

The previous prime is 133022326513. The next prime is 133022326537. The reversal of 133022326528 is 825623220331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30072925 + ... + 30077347.

Almost surely, 2133022326528 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 133022326528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163563561728).

133022326528 is an abundant number, since it is smaller than the sum of its proper divisors (194104796928).

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

133022326528 is a wasteful number, since it uses less digits than its factorization.

133022326528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5750 (or 5736 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

Adding to 133022326528 its reverse (825623220331), we get a palindrome (958645546859).

The spelling of 133022326528 in words is "one hundred thirty-three billion, twenty-two million, three hundred twenty-six thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 728 832 896 1291 1456 1664 1792 2582 2912 3328 4423 5164 5824 8846 9037 10328 11648 16783 17692 18074 20656 23296 30961 33566 35384 36148 41312 57499 61922 67132 70768 72296 82624 114998 117481 123844 134264 141536 144592 165248 229996 234962 247688 268528 283072 289184 330496 402493 459992 469924 495376 537056 566144 578368 804986 919984 939848 990752 1074112 1132288 1156736 1609972 1839968 1879696 1981504 2148224 2313472 3219944 3679936 3759392 3963008 4296448 5710093 6439888 7359872 7518784 7926016 11420186 12879776 14719744 15037568 22840372 25759552 30075136 39970651 45680744 51519104 74231209 79941302 91361488 103038208 148462418 159882604 182722976 296924836 319765208 365445952 519618463 593849672 639530416 730891904 1039236926 1187699344 1279060832 1461783808 2078473852 2375398688 2558121664 4156947704 4750797376 5116243328 8313895408 9501594752 10232486656 16627790816 19003189504 33255581632 66511163264 133022326528