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34025266120 = 23519397112771
BaseRepresentation
bin11111101100000100…
…000101101111001000
310020211021112121102111
4133230010011233020
51024140432003440
623344143312104
72313114663406
oct375404055710
9106737477374
1034025266120
111348041504a
126716bab634
1332932c1b81
14190ac98476
15d421e04ea
hex7ec105bc8

34025266120 has 64 divisors (see below), whose sum is σ = 80789860800. Its totient is φ = 12861192960.

The previous prime is 34025266091. The next prime is 34025266141. The reversal of 34025266120 is 2166252043.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245335 + ... + 358105.

It is an arithmetic number, because the mean of its divisors is an integer number (1262341575).

Almost surely, 234025266120 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 34025266120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40394930400).

34025266120 is an abundant number, since it is smaller than the sum of its proper divisors (46764594680).

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

34025266120 is a wasteful number, since it uses less digits than its factorization.

34025266120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113198 (or 113194 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 34025266120 in words is "thirty-four billion, twenty-five million, two hundred sixty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 397 760 794 1588 1985 3176 3970 7543 7940 15086 15880 30172 37715 60344 75430 112771 150860 225542 301720 451084 563855 902168 1127710 2142649 2255420 4285298 4510840 8570596 10713245 17141192 21426490 42852980 44770087 85705960 89540174 179080348 223850435 358160696 447700870 850631653 895401740 1701263306 1790803480 3402526612 4253158265 6805053224 8506316530 17012633060 34025266120