Search a number
-
+
132653524536030 = 23510178763898707
BaseRepresentation
bin11110001010010111001110…
…001101010100101011011110
3122101200112221012120100100110
4132022113032031110223132
5114341343404240123110
61150044104325510450
736640621000130541
oct3612271615245336
9571615835510313
10132653524536030
11392a405336a753
1212a65184b72426
135903234794044
1424a867176a858
1510509513e0a20
hex78a5ce354ade

132653524536030 has 128 divisors (see below), whose sum is σ = 322016528816640. Its totient is φ = 34970037926400.

The previous prime is 132653524536007. The next prime is 132653524536037. The reversal of 132653524536030 is 30635425356231.

It is a happy number.

It is a super-2 number, since 2×1326535245360302 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132653524536037) 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, 15235268937 + ... + 15235277643.

It is an arithmetic number, because the mean of its divisors is an integer number (2515754131380).

Almost surely, 2132653524536030 is an apocalyptic number.

132653524536030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132653524536030 is an abundant number, since it is smaller than the sum of its proper divisors (189363004280610).

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

132653524536030 is a wasteful number, since it uses less digits than its factorization.

132653524536030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15994.

The product of its (nonzero) digits is 5832000, while the sum is 48.

The spelling of 132653524536030 in words is "one hundred thirty-two trillion, six hundred fifty-three billion, five hundred twenty-four million, five hundred thirty-six thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 101 202 303 505 606 787 1010 1515 1574 2361 3030 3935 4722 6389 7870 8707 11805 12778 17414 19167 23610 26121 31945 38334 43535 52242 63890 79487 87070 95835 130605 158974 191670 238461 261210 397435 476922 645289 794870 879407 1192305 1290578 1758814 1935867 2384610 2638221 3226445 3871734 4397035 5028143 5276442 6452890 6852409 8794070 9679335 10056286 13191105 13704818 15084429 19358670 20557227 25140715 26382210 30168858 34262045 41114454 50281430 55629023 68524090 75422145 102786135 111258046 150844290 166887069 205572270 278145115 333774138 507842443 556290230 692093309 834435345 1015684886 1384186618 1523527329 1668870690 2076279927 2539212215 3047054658 3460466545 4152559854 5078424430 5618531323 6920933090 7617636645 10381399635 11237062646 15235273290 16855593969 20762799270 28092656615 33711187938 43780041101 56185313230 84277969845 87560082202 131340123303 168555939690 218900205505 262680246606 437800411010 656700616515 1313401233030 4421784151201 8843568302402 13265352453603 22108920756005 26530704907206 44217841512010 66326762268015 132653524536030