Search a number
-
+
23211511300544 = 2674167904513
BaseRepresentation
bin1010100011100010110011…
…11000101100000111000000
310001011222222010120010022212
411101301121320230013000
511020244133343104134
6121211115430521252
74613655613460000
oct521613170540700
9101158863503285
1023211511300544
117439a46008436
12272a668206228
13cc4ab3c6b038
145a362bda0000
152a3bb8439bce
hex151c59e2c1c0

23211511300544 has 140 divisors (see below), whose sum is σ = 54055688681904. Its totient is φ = 9888212017152.

The previous prime is 23211511300511. The next prime is 23211511300559. The reversal of 23211511300544 is 44500311511232.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 23211511300544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25209632 + ... + 26114144.

Almost surely, 223211511300544 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 23211511300544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27027844340952).

23211511300544 is an abundant number, since it is smaller than the sum of its proper divisors (30844177381360).

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

23211511300544 is an frugal number, since it uses more digits than its factorization.

23211511300544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904720 (or 904689 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 23211511300544 its reverse (44500311511232), we get a palindrome (67711822811776).

The spelling of 23211511300544 in words is "twenty-three trillion, two hundred eleven billion, five hundred eleven million, three hundred thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 167 196 224 334 343 392 448 668 686 784 1169 1336 1372 1568 2338 2401 2672 2744 3136 4676 4802 5344 5488 8183 9352 9604 10688 10976 16366 18704 19208 21952 32732 37408 38416 57281 65464 74816 76832 114562 130928 153664 229124 261856 400967 458248 523712 801934 904513 916496 1603868 1809026 1832992 3207736 3618052 3665984 6331591 6415472 7236104 12663182 12830944 14472208 25326364 25661888 28944416 44321137 50652728 57888832 88642274 101305456 151053671 177284548 202610912 302107342 310247959 354569096 405221824 604214684 620495918 709138192 1057375697 1208429368 1240991836 1418276384 2114751394 2171735713 2416858736 2481983672 2836552768 4229502788 4343471426 4833717472 4963967344 7401629879 8459005576 8686942852 9667434944 9927934688 14803259758 16918011152 17373885704 19855869376 29606519516 33836022304 34747771408 51811409153 59213039032 67672044608 69495542816 103622818306 118426078064 138991085632 207245636612 236852156128 362679864071 414491273224 473704312256 725359728142 828982546448 1450719456284 1657965092896 2901438912568 3315930185792 5802877825136 11605755650272 23211511300544