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21552150656 = 271753186877
BaseRepresentation
bin10100000100100110…
…111011100010000000
32001122000011200200002
4110010212323202000
5323114322310111
613522333215132
71362040154321
oct240446734200
961560150602
1021552150656
11915a699863
1242159314a8
13205612918a
1410864c2448
1586216763b
hex5049bb880

21552150656 has 64 divisors (see below), whose sum is σ = 46319581080. Its totient is φ = 9950773248.

The previous prime is 21552150649. The next prime is 21552150671. The reversal of 21552150656 is 65605125512.

It can be written as a sum of positive squares in 4 ways, for example, as 21491560000 + 60590656 = 146600^2 + 7784^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21890 + ... + 208766.

Almost surely, 221552150656 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 21552150656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23159790540).

21552150656 is an abundant number, since it is smaller than the sum of its proper divisors (24767430424).

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

21552150656 is a wasteful number, since it uses less digits than its factorization.

21552150656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186961 (or 186949 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 38.

The spelling of 21552150656 in words is "twenty-one billion, five hundred fifty-two million, one hundred fifty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 53 64 68 106 128 136 212 272 424 544 848 901 1088 1696 1802 2176 3392 3604 6784 7208 14416 28832 57664 115328 186877 373754 747508 1495016 2990032 3176909 5980064 6353818 9904481 11960128 12707636 19808962 23920256 25415272 39617924 50830544 79235848 101661088 158471696 168376177 203322176 316943392 336752354 406644352 633886784 673504708 1267773568 1347009416 2694018832 5388037664 10776075328 21552150656