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21261024143544 = 23317593732367899
BaseRepresentation
bin1001101010110001101111…
…10010101010100010111000
32210021112102022212022012210
410311120313302222202320
510241320034140043134
6113115102445535120
74323025666260603
oct465306762524270
983245368768183
1021261024143544
116857827945409
122474641b744a0
13bb2ba156a203
1453707926d33a
1526d0ac1742e9
hex135637caa8b8

21261024143544 has 128 divisors (see below), whose sum is σ = 57386530080000. Its totient is φ = 6539490207744.

The previous prime is 21261024143543. The next prime is 21261024143563. The reversal of 21261024143544 is 44534142016212.

It is a super-2 number, since 2×212610241435442 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21261024143543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7794907 + ... + 10162805.

It is an arithmetic number, because the mean of its divisors is an integer number (448332266250).

Almost surely, 221261024143544 is an apocalyptic number.

21261024143544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21261024143544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28693265040000).

21261024143544 is an abundant number, since it is smaller than the sum of its proper divisors (36125505936456).

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

21261024143544 is a wasteful number, since it uses less digits than its factorization.

21261024143544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368357 (or 2368353 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

Adding to 21261024143544 its reverse (44534142016212), we get a palindrome (65795166159756).

The spelling of 21261024143544 in words is "twenty-one trillion, two hundred sixty-one billion, twenty-four million, one hundred forty-three thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 59 68 102 118 136 177 204 236 354 373 408 472 708 746 1003 1119 1416 1492 2006 2238 2984 3009 4012 4476 6018 6341 8024 8952 12036 12682 19023 22007 24072 25364 38046 44014 50728 66021 76092 88028 132042 152184 176056 264084 374119 528168 748238 1122357 1496476 2244714 2367899 2992952 4489428 4735798 7103697 8978856 9471596 14207394 18943192 28414788 40254283 56829576 80508566 120762849 139706041 161017132 241525698 279412082 322034264 419118123 483051396 558824164 838236246 883226327 966102792 1117648328 1676472492 1766452654 2375002697 2649678981 3352944984 3532905308 4750005394 5299357962 7065810616 7125008091 9500010788 10598715924 14250016182 15014847559 19000021576 21197431848 28500032364 30029695118 45044542677 52110353293 57000064728 60059390236 90089085354 104220706586 120118780472 156331059879 180178170708 208441413172 312662119758 360356341416 416882826344 625324239516 885876005981 1250648479032 1771752011962 2657628017943 3543504023924 5315256035886 7087008047848 10630512071772 21261024143544