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21324201026432 = 2710119171912011
BaseRepresentation
bin1001101100100111011010…
…11011010110001110000000
32210111120111020022111000012
410312103231123112032000
510243333430430321212
6113204111441444052
74330423403024543
oct466235533261600
983446436274005
1021324201026432
1168815a7616617
122484933940628
13bb8b2c230a55
1453a14da1085a
1526ea5875a922
hex1364ed6d6380

21324201026432 has 128 divisors (see below), whose sum is σ = 43190616268800. Its totient is φ = 10485786880000.

The previous prime is 21324201026431. The next prime is 21324201026459. The reversal of 21324201026432 is 23462010242312.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21324201026431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1775383307 + ... + 1775395317.

It is an arithmetic number, because the mean of its divisors is an integer number (337426689600).

Almost surely, 221324201026432 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 21324201026432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21595308134400).

21324201026432 is an abundant number, since it is smaller than the sum of its proper divisors (21866415242368).

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

21324201026432 is a wasteful number, since it uses less digits than its factorization.

21324201026432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13036 (or 13024 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 21324201026432 its reverse (23462010242312), we get a palindrome (44786211268744).

The spelling of 21324201026432 in words is "twenty-one trillion, three hundred twenty-four billion, two hundred one million, twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 101 128 191 202 382 404 719 764 808 1438 1528 1616 2876 3056 3232 5752 6112 6464 11504 12011 12224 12928 19291 23008 24022 24448 38582 46016 48044 72619 77164 92032 96088 137329 145238 154328 192176 274658 290476 308656 384352 549316 580952 617312 768704 1098632 1161904 1213111 1234624 1537408 2197264 2294101 2323808 2426222 2469248 4394528 4588202 4647616 4852444 8635909 8789056 9176404 9295232 9704888 13870229 17271818 17578112 18352808 19409776 27740458 34543636 36705616 38819552 55480916 69087272 73411232 77639104 110961832 138174544 146822464 155278208 221923664 231704201 276349088 293644928 443847328 463408402 552698176 872226809 887694656 926816804 1105396352 1649458619 1744453618 1775389312 1853633608 3298917238 3488907236 3707267216 6597834476 6977814472 7414534432 13195668952 13955628944 14829068864 26391337904 27911257888 29658137728 52782675808 55822515776 105565351616 111645031552 166595320519 211130703232 333190641038 666381282076 1332762564152 2665525128304 5331050256608 10662100513216 21324201026432