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5956134976 = 261128772
BaseRepresentation
bin1011000110000001…
…10110100001000000
3120101002112000011201
411203000312201000
544144232304401
62423004350544
7300412212001
oct54300664100
916332460151
105956134976
1125870a0400
1211a2845454
1373bc7ac2c
144070711a8
1524cd70b01
hex163036840

5956134976 has 63 divisors (see below), whose sum is σ = 13006188237. Its totient is φ = 2704247040.

The previous prime is 5956134929. The next prime is 5956135001. The reversal of 5956134976 is 6794316595.

The square root of 5956134976 is 77176.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5018305600 + 937829376 = 70840^2 + 30624^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6791050 + ... + 6791926.

Almost surely, 25956134976 is an apocalyptic number.

5956134976 is the 77176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5956134976

5956134976 is an abundant number, since it is smaller than the sum of its proper divisors (7050053261).

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

5956134976 is an frugal number, since it uses more digits than its factorization.

5956134976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 890 counting only the distinct ones).

The product of its digits is 6123600, while the sum is 55.

The cubic root of 5956134976 is about 1812.6815330884.

The spelling of 5956134976 in words is "five billion, nine hundred fifty-six million, one hundred thirty-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 877 968 1754 1936 3508 3872 7016 7744 9647 14032 19294 28064 38588 56128 77176 106117 154352 212234 308704 424468 617408 769129 848936 1538258 1697872 3076516 3395744 6153032 6791488 8460419 12306064 16920838 24612128 33841676 49224256 67683352 93064609 135366704 186129218 270733408 372258436 541466816 744516872 1489033744 2978067488 5956134976