Search a number
-
+
132226110517326 = 23731073171894213
BaseRepresentation
bin11110000100001001001010…
…010110001111000001001110
3122100011200200222200112102120
4132010021022112033001032
5114312343033243023301
61145115500412033410
736565010165664000
oct3604111226170116
9570150628615376
10132226110517326
1139149862294351
12129b6380a62866
1358a1b3a765a77
142491ac6792370
151044787e2ee36
hex78424a58f04e

132226110517326 has 128 divisors (see below), whose sum is σ = 312263450956800. Its totient is φ = 37307732789376.

The previous prime is 132226110517261. The next prime is 132226110517327. The reversal of 132226110517326 is 623715011622231.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132226110517327) 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, 68858196 + ... + 70752408.

It is an arithmetic number, because the mean of its divisors is an integer number (2439558210600).

Almost surely, 2132226110517326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132226110517326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156131725478400).

132226110517326 is an abundant number, since it is smaller than the sum of its proper divisors (180037340439474).

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

132226110517326 is a wasteful number, since it uses less digits than its factorization.

132226110517326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894663 (or 1894649 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 132226110517326 in words is "one hundred thirty-two trillion, two hundred twenty-six billion, one hundred ten million, five hundred seventeen thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 107 147 214 294 317 321 343 634 642 686 749 951 1029 1498 1902 2058 2219 2247 4438 4494 5243 6657 10486 13314 15533 15729 31066 31458 33919 36701 46599 67838 73402 93198 101757 108731 110103 203514 217462 220206 237433 326193 474866 652386 712299 1424598 1662031 1894213 3324062 3788426 4986093 5682639 9972186 11365278 11634217 13259491 23268434 26518982 34902651 39778473 69805302 79556946 92816437 185632874 202680791 278449311 405361582 556898622 600465521 608042373 649715059 1200931042 1216084746 1299430118 1418765537 1801396563 1949145177 2837531074 3602793126 3898290354 4203258647 4256296611 8406517294 8512593222 9931358759 12609775941 19862717518 25219551882 29422810529 29794076277 58845621058 59588152554 64249810747 69519511313 88268431587 128499621494 139039022626 176536863174 192749432241 205959673703 208558533939 385498864482 411919347406 417117067878 449748675229 617879021109 899497350458 1235758042218 1349246025687 2698492051374 3148240726603 6296481453206 9444722179809 18889444359618 22037685086221 44075370172442 66113055258663 132226110517326