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52193645680 = 24511106155901
BaseRepresentation
bin110000100110111110…
…111101010001110000
311222201110112220210011
4300212332331101300
51323343033130210
635551042544304
73525256445131
oct604676752160
9158643486704
1052193645680
1120153a52570
12a147668094
134bca388017
142751bd5c88
151557258d8a
hexc26fbd470

52193645680 has 80 divisors (see below), whose sum is σ = 132509206368. Its totient is φ = 18961280000.

The previous prime is 52193645579. The next prime is 52193645681. The reversal of 52193645680 is 8654639125.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52193645681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 905730 + ... + 961630.

Almost surely, 252193645680 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 52193645680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66254603184).

52193645680 is an abundant number, since it is smaller than the sum of its proper divisors (80315560688).

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

52193645680 is a wasteful number, since it uses less digits than its factorization.

52193645680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56986 (or 56980 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

The spelling of 52193645680 in words is "fifty-two billion, one hundred ninety-three million, six hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1061 2122 4244 5305 8488 10610 11671 16976 21220 23342 42440 46684 55901 58355 84880 93368 111802 116710 186736 223604 233420 279505 447208 466840 559010 614911 894416 933680 1118020 1229822 2236040 2459644 3074555 4472080 4919288 6149110 9838576 12298220 24596440 49192880 59310961 118621922 237243844 296554805 474487688 593109610 652420571 948975376 1186219220 1304841142 2372438440 2609682284 3262102855 4744876880 5219364568 6524205710 10438729136 13048411420 26096822840 52193645680