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5858331468 = 22311537311471
BaseRepresentation
bin1010111010010111…
…10000101101001100
3120010021111001222120
411131023300231030
543444213101333
62405152212540
7265113665403
oct53513605514
916107431876
105858331468
11253696a160
121175b3a150
13724926132
143d809263a
152444a1db3
hex15d2f0b4c

5858331468 has 96 divisors (see below), whose sum is σ = 15402949632. Its totient is φ = 1717747200.

The previous prime is 5858331467. The next prime is 5858331473. The reversal of 5858331468 is 8641338585.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5858331468.

It is not an unprimeable number, because it can be changed into a prime (5858331463) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 504973 + ... + 516443.

It is an arithmetic number, because the mean of its divisors is an integer number (160447392).

Almost surely, 25858331468 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 5858331468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7701474816).

5858331468 is an abundant number, since it is smaller than the sum of its proper divisors (9544618164).

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

5858331468 is a wasteful number, since it uses less digits than its factorization.

5858331468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11615 (or 11613 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 51.

The square root of 5858331468 is about 76539.7378359764. The cubic root of 5858331468 is about 1802.7049319200.

The spelling of 5858331468 in words is "five billion, eight hundred fifty-eight million, three hundred thirty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 73 106 132 146 159 212 219 292 318 438 583 636 803 876 1166 1606 1749 2332 2409 3212 3498 3869 4818 6996 7738 9636 11471 11607 15476 22942 23214 34413 42559 45884 46428 68826 85118 126181 127677 137652 170236 252362 255354 378543 504724 510708 607963 757086 837383 1215926 1514172 1674766 1823889 2431852 2512149 3349532 3647778 5024298 6687593 7295556 9211213 10048596 13375186 18422426 20062779 26750372 27633639 36844852 40125558 44381299 55267278 80251116 88762598 110534556 133143897 177525196 266287794 488194289 532575588 976388578 1464582867 1952777156 2929165734 5858331468