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56533213660 = 22571176148239
BaseRepresentation
bin110100101001101001…
…000110000111011100
312101220220012210221011
4310221221012013130
51411240000314120
641545422545004
74040642246620
oct645151060734
9171826183834
1056533213660
1121a80586190
12ab58a38164
13543c44c521
142a4429d180
15170d206c5a
hexd29a461dc

56533213660 has 96 divisors (see below), whose sum is σ = 148211804160. Its totient is φ = 17597222400.

The previous prime is 56533213631. The next prime is 56533213661. The reversal of 56533213660 is 6631233565.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56533213661) 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 31 ways as a sum of consecutive naturals, for example, 1147821 + ... + 1196059.

It is an arithmetic number, because the mean of its divisors is an integer number (1543872960).

Almost surely, 256533213660 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 56533213660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74105902080).

56533213660 is an abundant number, since it is smaller than the sum of its proper divisors (91678590500).

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

56533213660 is a wasteful number, since it uses less digits than its factorization.

56533213660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49027 (or 49025 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 40.

The spelling of 56533213660 in words is "fifty-six billion, five hundred thirty-three million, two hundred thirteen thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 761 770 1522 1540 3044 3805 5327 7610 8371 10654 15220 16742 21308 26635 33484 41855 48239 53270 58597 83710 96478 106540 117194 167420 192956 234388 241195 292985 337673 482390 530629 585970 675346 964780 1061258 1171940 1350692 1688365 2122516 2653145 3376730 3714403 5306290 6753460 7428806 10612580 14857612 18572015 36709879 37144030 73419758 74288060 146839516 183549395 256969153 367098790 403808669 513938306 734197580 807617338 1027876612 1284845765 1615234676 2019043345 2569691530 2826660683 4038086690 5139383060 5653321366 8076173380 11306642732 14133303415 28266606830 56533213660