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5830820712 = 23322310932303
BaseRepresentation
bin1010110111000101…
…10100001101101000
3120001100201101022200
411123202310031220
543420142230322
62402330420200
7264331105203
oct53342641550
916040641280
105830820712
1125223899a2
121168891660
1371c013192
143d457093a
15241d6a8ac
hex15b8b4368

5830820712 has 96 divisors (see below), whose sum is σ = 16630099200. Its totient is φ = 1841989248.

The previous prime is 5830820669. The next prime is 5830820717. The reversal of 5830820712 is 2170280385.

5830820712 is a `hidden beast` number, since 583 + 0 + 8 + 2 + 0 + 71 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5830820717) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164353 + ... + 196655.

It is an arithmetic number, because the mean of its divisors is an integer number (173230200).

Almost surely, 25830820712 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 5830820712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8315049600).

5830820712 is an abundant number, since it is smaller than the sum of its proper divisors (10799278488).

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

5830820712 is a wasteful number, since it uses less digits than its factorization.

5830820712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32447 (or 32440 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5830820712 is about 76359.8108431392. The cubic root of 5830820712 is about 1799.8786658954.

The spelling of 5830820712 in words is "five billion, eight hundred thirty million, eight hundred twenty thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 109 138 184 207 218 276 327 414 436 552 654 828 872 981 1308 1656 1962 2507 2616 3924 5014 7521 7848 10028 15042 20056 22563 30084 32303 45126 60168 64606 90252 96909 129212 180504 193818 258424 290727 387636 581454 742969 775272 1162908 1485938 2228907 2325816 2971876 3521027 4457814 5943752 6686721 7042054 8915628 10563081 13373442 14084108 17831256 21126162 26746884 28168216 31689243 42252324 53493768 63378486 80983621 84504648 126756972 161967242 242950863 253513944 323934484 485901726 647868968 728852589 971803452 1457705178 1943606904 2915410356 5830820712