Search a number
-
+
28374493032 = 23326731118913
BaseRepresentation
bin11010011011010000…
…000110011101101000
32201020110121121000100
4122123100012131220
5431102332234112
621011323505400
72023101132324
oct323320063550
981213547010
1028374493032
1111040730646
1255ba688260
1328a269b462
1415325d4984
15b1108c2dc
hex69b406768

28374493032 has 96 divisors (see below), whose sum is σ = 78249487680. Its totient is φ = 9286548480.

The previous prime is 28374493027. The next prime is 28374493057. The reversal of 28374493032 is 23039447382.

It is a super-2 number, since 2×283744930322 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 1490808 + ... + 1509720.

It is an arithmetic number, because the mean of its divisors is an integer number (815098830).

Almost surely, 228374493032 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 28374493032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39124743840).

28374493032 is an abundant number, since it is smaller than the sum of its proper divisors (49874994648).

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

28374493032 is a wasteful number, since it uses less digits than its factorization.

28374493032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19303 (or 19296 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 28374493032 in words is "twenty-eight billion, three hundred seventy-four million, four hundred ninety-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 311 402 536 603 622 804 933 1206 1244 1608 1866 2412 2488 2799 3732 4824 5598 7464 11196 18913 20837 22392 37826 41674 56739 62511 75652 83348 113478 125022 151304 166696 170217 187533 226956 250044 340434 375066 453912 500088 680868 750132 1267171 1361736 1500264 2534342 3801513 5068684 5881943 7603026 10137368 11404539 11763886 15206052 17645829 22809078 23527772 30412104 35291658 45618156 47055544 52937487 70583316 91236312 105874974 141166632 211749948 394090181 423499896 788180362 1182270543 1576360724 2364541086 3152721448 3546811629 4729082172 7093623258 9458164344 14187246516 28374493032