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21660615072 = 2532317237257
BaseRepresentation
bin10100001011000100…
…101100000110100000
32001220120021020212200
4110023010230012200
5323330104140242
613541210053200
71364525122155
oct241304540640
961816236780
1021660615072
119205941778
12424611a200
1320727445c5
141096a7822c
1586b94004c
hex50b12c1a0

21660615072 has 72 divisors (see below), whose sum is σ = 61791948036. Its totient is φ = 7197398016.

The previous prime is 21660615061. The next prime is 21660615077. The reversal of 21660615072 is 27051606612.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20142421776 + 1518193296 = 141924^2 + 38964^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21660615077) 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, 27333 + ... + 209924.

Almost surely, 221660615072 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 21660615072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30895974018).

21660615072 is an abundant number, since it is smaller than the sum of its proper divisors (40131332964).

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

21660615072 is a wasteful number, since it uses less digits than its factorization.

21660615072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237590 (or 237579 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 21660615072 in words is "twenty-one billion, six hundred sixty million, six hundred fifteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 317 634 951 1268 1902 2536 2853 3804 5072 5706 7608 10144 11412 15216 22824 30432 45648 91296 237257 474514 711771 949028 1423542 1898056 2135313 2847084 3796112 4270626 5694168 7592224 8541252 11388336 17082504 22776672 34165008 68330016 75210469 150420938 225631407 300841876 451262814 601683752 676894221 902525628 1203367504 1353788442 1805051256 2406735008 2707576884 3610102512 5415153768 7220205024 10830307536 21660615072