Search a number
-
+
23550460232574 = 23112971191907331
BaseRepresentation
bin1010101101011010001001…
…10100010000001101111110
310002101101212001202220101010
411112231010310100031332
511041322320304420244
6122030533154500050
74650315234036132
oct526550464201576
9102341761686333
1023550460232574
11755a76a929860
1227842a1594626
13101aa50171792
145b5bc3c6b3c2
152ac9051b2eb9
hex156b44d1037e

23550460232574 has 128 divisors (see below), whose sum is σ = 54185576693760. Its totient is φ = 6757793840000.

The previous prime is 23550460232573. The next prime is 23550460232591. The reversal of 23550460232574 is 47523206405532.

It is a super-3 number, since 3×235504602325743 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23550460232573) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25502089 + ... + 26409419.

It is an arithmetic number, because the mean of its divisors is an integer number (423324817920).

Almost surely, 223550460232574 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23550460232574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27092788346880).

23550460232574 is an abundant number, since it is smaller than the sum of its proper divisors (30635116461186).

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

23550460232574 is a wasteful number, since it uses less digits than its factorization.

23550460232574 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907638.

The product of its (nonzero) digits is 6048000, while the sum is 48.

The spelling of 23550460232574 in words is "twenty-three trillion, five hundred fifty billion, four hundred sixty million, two hundred thirty-two thousand, five hundred seventy-four".

Divisors: 1 2 3 6 11 22 29 33 58 66 71 87 142 174 191 213 319 382 426 573 638 781 957 1146 1562 1914 2059 2101 2343 4118 4202 4686 5539 6177 6303 11078 12354 12606 13561 16617 22649 27122 33234 40683 45298 60929 67947 81366 121858 135894 149171 182787 298342 365574 393269 447513 786538 895026 907331 1179807 1814662 2359614 2721993 4325959 5443986 8651918 9980641 12977877 19961282 25955754 26312599 29941923 52625198 59883846 64420501 78937797 128841002 157875594 173300221 193261503 289438589 346600442 386523006 519900663 578877178 708625511 868315767 1039801326 1417251022 1736631534 1868194529 1906302431 2125876533 3736389058 3812604862 4251753066 5025706409 5604583587 5718907293 10051412818 11209167174 11437814586 12304315691 15077119227 20550139819 24608631382 30154238454 36912947073 41100279638 55282770499 61650419457 73825894146 110565540998 123300838914 135347472601 165848311497 270694945202 331696622994 356825155039 406042417803 713650310078 812084835606 1070475465117 2140950930234 3925076705429 7850153410858 11775230116287 23550460232574