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21364025232 = 2431125936203
BaseRepresentation
bin10011111001011001…
…010010011110010000
32001010220011221002210
4103321121102132100
5322223142301412
613451533112120
71354264134564
oct237131223620
961126157083
1021364025232
119073487400
124182928640
13202616ba64
1410695116a4
158508a683c
hex4f9652790

21364025232 has 120 divisors (see below), whose sum is σ = 60775922592. Its totient is φ = 6461987840.

The previous prime is 21364025231. The next prime is 21364025297. The reversal of 21364025232 is 23252046312.

It is a super-2 number, since 2×213640252322 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21364025232.

It is not an unprimeable number, because it can be changed into a prime (21364025231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3441043 + ... + 3447245.

Almost surely, 221364025232 is an apocalyptic number.

21364025232 is a gapful number since it is divisible by the number (22) 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 21364025232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30387961296).

21364025232 is an abundant number, since it is smaller than the sum of its proper divisors (39411897360).

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

21364025232 is a wasteful number, since it uses less digits than its factorization.

21364025232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6829 (or 6812 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 21364025232 in words is "twenty-one billion, three hundred sixty-four million, twenty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 593 726 968 1186 1452 1779 1936 2372 2904 3558 4744 5808 6203 6523 7116 9488 12406 13046 14232 18609 19569 24812 26092 28464 37218 39138 49624 52184 68233 71753 74436 78276 99248 104368 136466 143506 148872 156552 204699 215259 272932 287012 297744 313104 409398 430518 545864 574024 750563 818796 861036 1091728 1148048 1501126 1637592 1722072 2251689 3002252 3275184 3444144 3678379 4503378 6004504 7356758 9006756 11035137 12009008 14713516 18013512 22070274 29427032 36027024 40462169 44140548 58854064 80924338 88281096 121386507 161848676 176562192 242773014 323697352 445083859 485546028 647394704 890167718 971092056 1335251577 1780335436 1942184112 2670503154 3560670872 5341006308 7121341744 10682012616 21364025232