Search a number
-
+
75139549392 = 243311571811777
BaseRepresentation
bin100010111111010101…
…0101000100011010000
321011221121022121012210
41011332222220203100
52212341211040032
654304005152120
75300012426445
oct1057652504320
9234847277183
1075139549392
1129959353656
12126900bb640
13711618643b
1438cb4419cc
151e4b9302cc
hex117eaa88d0

75139549392 has 160 divisors (see below), whose sum is σ = 202876570624. Its totient is φ = 23937638400.

The previous prime is 75139549369. The next prime is 75139549393. The reversal of 75139549392 is 29394593157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75139549393) 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, 42283608 + ... + 42285384.

Almost surely, 275139549392 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 75139549392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101438285312).

75139549392 is an abundant number, since it is smaller than the sum of its proper divisors (127737021232).

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

75139549392 is a wasteful number, since it uses less digits than its factorization.

75139549392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2151 counting only the distinct ones).

The product of its digits is 9185400, while the sum is 57.

The spelling of 75139549392 in words is "seventy-five billion, one hundred thirty-nine million, five hundred forty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 157 181 186 248 314 362 372 471 496 543 628 724 744 942 1086 1256 1448 1488 1777 1884 2172 2512 2896 3554 3768 4344 4867 5331 5611 7108 7536 8688 9734 10662 11222 14216 14601 16833 19468 21324 22444 28417 28432 29202 33666 38936 42648 44888 55087 56834 58404 67332 77872 85251 85296 89776 110174 113668 116808 134664 165261 170502 220348 227336 233616 269328 278989 321637 330522 341004 440696 454672 557978 643274 661044 682008 836967 880927 881392 964911 1115956 1286548 1322088 1364016 1673934 1761854 1929822 2231912 2573096 2642781 2644176 3347868 3523708 3859644 4463824 5146192 5285562 6695736 7047416 7719288 8648659 9970747 10571124 13391472 14094832 15438576 17297318 19941494 21142248 25945977 29912241 34594636 39882988 42284496 50497009 51891954 59824482 69189272 79765976 100994018 103783908 119648964 138378544 151491027 159531952 201988036 207567816 239297928 302982054 403976072 415135632 478595856 605964108 807952144 1211928216 1565407279 2423856432 3130814558 4696221837 6261629116 9392443674 12523258232 18784887348 25046516464 37569774696 75139549392