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34225060056 = 23311234332
BaseRepresentation
bin11111110111111110…
…001111100011011000
310021100012111012011220
4133313332033203120
51030043103410211
623420041452040
72321062132125
oct376776174330
9107305435156
1034225060056
1113573177200
126771aa1020
1332c5806435
14192962574c
15d54a08806
hex7f7f8f8d8

34225060056 has 72 divisors (see below), whose sum is σ = 94075605540. Its totient is φ = 10368209280.

The previous prime is 34225060039. The next prime is 34225060057. The reversal of 34225060056 is 65006052243.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 34225059999 and 34225060026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34225060057) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9967716 + ... + 9971148.

Almost surely, 234225060056 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 34225060056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47037802770).

34225060056 is an abundant number, since it is smaller than the sum of its proper divisors (59850545484).

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

34225060056 is an equidigital number, since it uses as much as digits as its factorization.

34225060056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6897 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 34225060056 in words is "thirty-four billion, two hundred twenty-five million, sixty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 3433 6866 10299 13732 20598 27464 37763 41196 75526 82392 113289 151052 226578 302104 415393 453156 830786 906312 1246179 1661572 2492358 3323144 4984716 9969432 11785489 23570978 35356467 47141956 70712934 94283912 129640379 141425868 259280758 282851736 388921137 518561516 777842274 1037123032 1426044169 1555684548 2852088338 3111369096 4278132507 5704176676 8556265014 11408353352 17112530028 34225060056