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23226658794001 = 133137731091631201
BaseRepresentation
bin1010100011111111000001…
…01111110010101000010001
310001020110001210020112000001
411101333200233302220101
511021021144122402001
6121222102454130001
74615033154156335
oct521774057625021
9101213053215001
1023226658794001
11744540940a473
122731595050901
13cc6359219110
145a4267a197c5
152a42a3186001
hex151fe0bf2a11

23226658794001 has 128 divisors (see below), whose sum is σ = 27317083566080. Its totient is φ = 19591041024000.

The previous prime is 23226658793999. The next prime is 23226658794083. The reversal of 23226658794001 is 10049785662232.

It is a happy number.

It is a 4-Lehmer number, since φ(23226658794001) divides (23226658794001-1)4.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 23226658794001 - 21 = 23226658793999 is a prime.

It is a deceptive number, since it divides R23226658794000.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 23226658794001 = 90013 + 282303 = 191083 + 253293.

It is not an unprimeable number, because it can be changed into a prime (23226658714001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19339432201 + ... + 19339433401.

It is an arithmetic number, because the mean of its divisors is an integer number (213414715360).

It is a 1-persistent number, because it is pandigital, but 2⋅23226658794001 = 46453317588002 is not.

It is a Poulet number, since it divides 223226658794000-1.

Almost surely, 223226658794001 is an apocalyptic number.

It is an amenable number.

23226658794001 is a deficient number, since it is larger than the sum of its proper divisors (4090424772079).

23226658794001 is a wasteful number, since it uses less digits than its factorization.

23226658794001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627.

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 23226658794001 in words is "twenty-three trillion, two hundred twenty-six billion, six hundred fifty-eight million, seven hundred ninety-four thousand, one".

Divisors: 1 13 31 37 73 109 163 403 481 949 1147 1201 1417 2119 2263 2701 3379 4033 5053 6031 7957 11899 14911 15613 17767 29419 35113 37231 43927 44437 52429 65689 78403 83731 87673 103441 125023 130909 154687 186961 195763 230971 246667 294409 368869 440263 484003 550777 577681 657379 1088503 1139749 1296991 1377547 1625299 1701817 2430493 2544919 2717863 3206671 3243901 3827317 4058179 4795297 4843633 5723419 6068653 7160101 7243231 8545927 9126679 9556357 13648153 14290699 16860883 17908111 20378749 21338167 35332219 40206721 42170713 47988667 52756327 62967229 78892489 94162003 100560931 118646827 124232641 150152623 177425989 185779087 224540161 264923737 277396171 296247067 353585209 443011669 522687373 528755863 623852671 661483177 789512179 1307292103 1487648677 1557686191 1951984099 2919022093 3851211871 4596607717 5759151697 6873826219 8599281301 10263658327 10961141479 16391431753 19339432801 20249920483 24474877549 48288271921 57634389067 142494839227 213088612789 318173408137 627747534973 749247057871 1786666061077 23226658794001