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66535811556 = 2231723127111659
BaseRepresentation
bin111101111101110101…
…111110100111100100
320100201222212102200220
4331331311332213210
52042231131432211
650322141204340
74543551031614
oct757565764744
9210658772626
1066535811556
1126243805015
1210a8a8606b0
1363748392c6
1433128daa44
151ae6429806
hexf7dd7e9e4

66535811556 has 96 divisors (see below), whose sum is σ = 172881838080. Its totient is φ = 19809022464.

The previous prime is 66535811519. The next prime is 66535811603. The reversal of 66535811556 is 65511853566.

It is a super-2 number, since 2×665358115562 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 66535811499 and 66535811508.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 540055 + ... + 651713.

It is an arithmetic number, because the mean of its divisors is an integer number (1800852480).

Almost surely, 266535811556 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 66535811556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86440919040).

66535811556 is an abundant number, since it is smaller than the sum of its proper divisors (106346026524).

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

66535811556 is a wasteful number, since it uses less digits than its factorization.

66535811556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111833 (or 111831 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 51.

The spelling of 66535811556 in words is "sixty-six billion, five hundred thirty-five million, eight hundred eleven thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 127 138 204 254 276 381 391 508 762 782 1173 1524 1564 2159 2346 2921 4318 4692 5842 6477 8636 8763 11684 12954 17526 25908 35052 49657 99314 111659 148971 198628 223318 297942 334977 446636 595884 669954 1339908 1898203 2568157 3796406 5136314 5694609 7592812 7704471 10272628 11389218 14180693 15408942 22778436 28361386 30817884 42542079 43658669 56722772 85084158 87317338 130976007 170168316 174634676 241071781 261952014 326155939 482143562 523904028 652311878 723215343 964287124 978467817 1304623756 1446430686 1956935634 2892861372 3913871268 5544650963 11089301926 16633952889 22178603852 33267905778 66535811556