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21365364700 = 22522314876247
BaseRepresentation
bin10011111001011110…
…011001011111011100
32001010222200222111201
4103321132121133130
5322224013132300
613452021525244
71354311414001
oct237136313734
961128628451
1021365364700
1190742117a9
124183273824
13202651a644
14106977d8a8
15850a6d66a
hex4f97997dc

21365364700 has 72 divisors (see below), whose sum is σ = 48418900992. Its totient is φ = 8167769280.

The previous prime is 21365364673. The next prime is 21365364707. The reversal of 21365364700 is 746356312.

It is a self number, because there is not a number n which added to its sum of digits gives 21365364700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21365364707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3416977 + ... + 3423223.

It is an arithmetic number, because the mean of its divisors is an integer number (672484736).

Almost surely, 221365364700 is an apocalyptic number.

21365364700 is a gapful number since it is divisible by the number (20) 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 21365364700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24209450496).

21365364700 is an abundant number, since it is smaller than the sum of its proper divisors (27053536292).

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

21365364700 is a wasteful number, since it uses less digits than its factorization.

21365364700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7771 (or 7764 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 37.

The spelling of 21365364700 in words is "twenty-one billion, three hundred sixty-five million, three hundred sixty-four thousand, seven hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 1487 2300 2974 5948 6247 7435 12494 14870 24988 29740 31235 34201 37175 62470 68402 74350 124940 136804 143681 148700 156175 171005 287362 312350 342010 574724 624700 684020 718405 855025 1436810 1710050 2873620 3420100 3592025 7184050 9289289 14368100 18578578 37157156 46446445 92892890 185785780 213653647 232232225 427307294 464464450 854614588 928928900 1068268235 2136536470 4273072940 5341341175 10682682350 21365364700