Search a number
-
+
5935056138 = 2341117231933
BaseRepresentation
bin1011000011100000…
…11100010100001010
3120022121212002110000
411201300130110022
544123333244023
62420532503430
7300035100444
oct54160342412
916277762400
105935056138
112576203580
12119777ab76
137377aa74b
14404345494
1524b0aa243
hex161c1c50a

5935056138 has 80 divisors (see below), whose sum is σ = 14523844896. Its totient is φ = 1796528160.

The previous prime is 5935056119. The next prime is 5935056139. The reversal of 5935056138 is 8316505395.

5935056138 is a `hidden beast` number, since 5 + 9 + 3 + 50 + 561 + 38 = 666.

It is a super-2 number, since 2×59350561382 = 70449782722422950088, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5935056093 and 5935056102.

It is not an unprimeable number, because it can be changed into a prime (5935056139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3069420 + ... + 3071352.

Almost surely, 25935056138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5935056138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7261922448).

5935056138 is an abundant number, since it is smaller than the sum of its proper divisors (8588788758).

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

5935056138 is a wasteful number, since it uses less digits than its factorization.

5935056138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3681 (or 3672 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 5935056138 is about 77039.3155343426. The cubic root of 5935056138 is about 1810.5406378225.

The spelling of 5935056138 in words is "five billion, nine hundred thirty-five million, fifty-six thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1723 1782 1933 3446 3866 5169 5799 10338 11598 15507 17397 18953 21263 31014 34794 37906 42526 46521 52191 56859 63789 93042 104382 113718 127578 139563 156573 170577 191367 279126 313146 341154 382734 511731 574101 1023462 1148202 1535193 1722303 3070386 3330559 3444606 6661118 9991677 19983354 29975031 36636149 59950062 73272298 89925093 109908447 179850186 219816894 269775279 329725341 539550558 659450682 989176023 1978352046 2967528069 5935056138