Search a number
-
+
75133478088 = 23321778958661
BaseRepresentation
bin100010111111001001…
…1011110010011001000
321011221011220010221200
41011332103132103020
52212333132244323
654303231104200
75266610012034
oct1057623362310
9234834803850
1075133478088
1129955987149
121268a072060
137114b3bb56
1438ca7011c4
151e4b131443
hex117e4de4c8

75133478088 has 48 divisors (see below), whose sum is σ = 203501411100. Its totient is φ = 25042657920.

The previous prime is 75133478047. The next prime is 75133478089. The reversal of 75133478088 is 88087433157.

75133478088 is a `hidden beast` number, since 7 + 513 + 3 + 47 + 8 + 0 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 74781465444 + 352012644 = 273462^2 + 18762^2 .

It is a super-2 number, since 2×751334780882 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (75133478089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1251478 + ... + 1310138.

Almost surely, 275133478088 is an apocalyptic number.

It is an amenable number.

75133478088 is an abundant number, since it is smaller than the sum of its proper divisors (128367933012).

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

75133478088 is a wasteful number, since it uses less digits than its factorization.

75133478088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76462 (or 76455 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 75133478088 in words is "seventy-five billion, one hundred thirty-three million, four hundred seventy-eight thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 17789 35578 53367 58661 71156 106734 117322 142312 160101 175983 213468 234644 320202 351966 426936 469288 527949 640404 703932 1055898 1280808 1407864 2111796 4223592 1043520529 2087041058 3130561587 4174082116 6261123174 8348164232 9391684761 12522246348 18783369522 25044492696 37566739044 75133478088