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21364720740576 = 2532611216115707
BaseRepresentation
bin1001101101110010111001…
…00101110010100011100000
32210122110002010022020021200
410312321130211302203200
510300014422002144301
6113234452303521200
74333356460641123
oct466713445624340
983573063266250
1021364720740576
1168977aa976584
1224907618b9200
13bbc8b8b7b675
1453c0b52263ba
15270b2aba1c86
hex136e5c9728e0

21364720740576 has 72 divisors (see below), whose sum is σ = 61751923420824. Its totient is φ = 7004826466560.

The previous prime is 21364720740551. The next prime is 21364720740577. The reversal of 21364720740576 is 67504702746312.

21364720740576 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 4 + 7 + 20 + 7 + 40 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21364720740577) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 608040286 + ... + 608075421.

It is an arithmetic number, because the mean of its divisors is an integer number (857665603067).

Almost surely, 221364720740576 is an apocalyptic number.

It is an amenable number.

21364720740576 is an abundant number, since it is smaller than the sum of its proper divisors (40387202680248).

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

21364720740576 is a wasteful number, since it uses less digits than its factorization.

21364720740576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216115784 (or 1216115773 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 21364720740576 in words is "twenty-one trillion, three hundred sixty-four billion, seven hundred twenty million, seven hundred forty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 732 976 1098 1464 1952 2196 2928 4392 5856 8784 17568 1216115707 2432231414 3648347121 4864462828 7296694242 9728925656 10945041363 14593388484 19457851312 21890082726 29186776968 38915702624 43780165452 58373553936 74183058127 87560330904 116747107872 148366116254 175120661808 222549174381 296732232508 350241323616 445098348762 593464465016 667647523143 890196697524 1186928930032 1335295046286 1780393395048 2373857860064 2670590092572 3560786790096 5341180185144 7121573580192 10682360370288 21364720740576