Search a number
-
+
252443021616 = 243237109434683
BaseRepresentation
bin1110101100011011000…
…1101101000100110000
3220010121012002012202100
43223012301231010300
513114000403142431
6311545402020400
724144526164522
oct3530661550460
9803535065670
10252443021616
1198073560585
1240b127a7700
131aa6125b806
14c30b06da12
15687753c4e6
hex3ac6c6d130

252443021616 has 120 divisors (see below), whose sum is σ = 732242585360. Its totient is φ = 81122093568.

The previous prime is 252443021573. The next prime is 252443021647. The reversal of 252443021616 is 616120344252.

252443021616 is a `hidden beast` number, since 2 + 5 + 2 + 4 + 4 + 30 + 2 + 1 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 363411 + ... + 798093.

Almost surely, 2252443021616 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 252443021616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366121292680).

252443021616 is an abundant number, since it is smaller than the sum of its proper divisors (479799563744).

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

252443021616 is a wasteful number, since it uses less digits than its factorization.

252443021616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434843 (or 434834 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 252443021616 its reverse (616120344252), we get a palindrome (868563365868).

The spelling of 252443021616 in words is "two hundred fifty-two billion, four hundred forty-three million, twenty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 109 111 144 148 218 222 296 327 333 436 444 592 654 666 872 888 981 1308 1332 1744 1776 1962 2616 2664 3924 4033 5232 5328 7848 8066 12099 15696 16132 24198 32264 36297 48396 64528 72594 96792 145188 193584 290376 434683 580752 869366 1304049 1738732 2608098 3477464 3912147 5216196 6954928 7824294 10432392 15648588 16083271 20864784 31297176 32166542 47380447 48249813 62594352 64333084 94760894 96499626 128666168 142141341 144749439 189521788 192999252 257332336 284282682 289498878 379043576 385998504 426424023 568565364 578997756 758087152 771997008 852848046 1137130728 1157995512 1705696092 1753076539 2274261456 2315991024 3411392184 3506153078 5259229617 6822784368 7012306156 10518459234 14024612312 15777688851 21036918468 28049224624 31555377702 42073836936 63110755404 84147673872 126221510808 252443021616