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34147066700 = 22521993534861
BaseRepresentation
bin11111110011010100…
…101110001101001100
310021010202201201102002
4133303110232031030
51024413122113300
623404214051432
72316124164215
oct376324561514
9107122651362
1034147066700
111353314668a
12674b949b78
1332b25c9516
14191d12240c
15d4cc4e5d5
hex7f352e34c

34147066700 has 72 divisors (see below), whose sum is σ = 74697823200. Its totient is φ = 13548902400.

The previous prime is 34147066673. The next prime is 34147066717. The reversal of 34147066700 is 766074143.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7022270 + ... + 7027130.

Almost surely, 234147066700 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 34147066700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37348911600).

34147066700 is an abundant number, since it is smaller than the sum of its proper divisors (40550756500).

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

34147066700 is a wasteful number, since it uses less digits than its factorization.

34147066700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5427 (or 5420 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 38.

The spelling of 34147066700 in words is "thirty-four billion, one hundred forty-seven million, sixty-six thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 199 353 398 706 796 995 1412 1765 1990 3530 3980 4861 4975 7060 8825 9722 9950 17650 19444 19900 24305 35300 48610 70247 97220 121525 140494 243050 280988 351235 486100 702470 967339 1404940 1715933 1756175 1934678 3431866 3512350 3869356 4836695 6863732 7024700 8579665 9673390 17159330 19346780 24183475 34318660 42898325 48366950 85796650 96733900 171593300 341470667 682941334 1365882668 1707353335 3414706670 6829413340 8536766675 17073533350 34147066700