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74035552068 = 223310122133067
BaseRepresentation
bin100010011110011011…
…1001101111101000100
321002002122221201121000
41010330313031331010
52203111100131233
654002250453300
75230445544402
oct1047467157504
9232078851530
1074035552068
1129442159075
1212422434230
136c9b53619a
143824982472
151dd4a59d13
hex113cdcdf44

74035552068 has 96 divisors (see below), whose sum is σ = 193995285120. Its totient is φ = 24415171200.

The previous prime is 74035552067. The next prime is 74035552099. The reversal of 74035552068 is 86025553047.

74035552068 is a `hidden beast` number, since 7 + 4 + 0 + 35 + 552 + 0 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (74035552061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24137871 + ... + 24140937.

It is an arithmetic number, because the mean of its divisors is an integer number (2020784220).

Almost surely, 274035552068 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 74035552068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96997642560).

74035552068 is an abundant number, since it is smaller than the sum of its proper divisors (119959733052).

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

74035552068 is a wasteful number, since it uses less digits than its factorization.

74035552068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5394 (or 5386 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 74035552068 in words is "seventy-four billion, thirty-five million, five hundred fifty-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 101 108 202 303 404 606 909 1212 1818 2213 2727 3067 3636 4426 5454 6134 6639 8852 9201 10908 12268 13278 18402 19917 26556 27603 36804 39834 55206 59751 79668 82809 110412 119502 165618 223513 239004 309767 331236 447026 619534 670539 894052 929301 1239068 1341078 1858602 2011617 2682156 2787903 3717204 4023234 5575806 6034851 6787271 8046468 8363709 11151612 12069702 13574542 16727418 20361813 24139404 27149084 33454836 40723626 61085439 81447252 122170878 183256317 244341756 366512634 685514371 733025268 1371028742 2056543113 2742057484 4113086226 6169629339 8226172452 12339258678 18508888017 24678517356 37017776034 74035552068