Search a number
-
+
5735132199066 = 233171835232317
BaseRepresentation
bin101001101110101000010…
…0001000111100010011010
3202022021101020001011010010
41103131100201013202122
51222431022320332231
620110403334502350
71131230631232044
oct123352041074232
922267336034103
105735132199066
11191128a680316
127876102049b6
13327a88c6057a
1415b82096aa94
159e2b5c6e546
hex5375084789a

5735132199066 has 64 divisors (see below), whose sum is σ = 12151702757376. Its totient is φ = 1802009630400.

The previous prime is 5735132199007. The next prime is 5735132199067. The reversal of 5735132199066 is 6609912315375.

It is a super-2 number, since 2×57351321990662 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5735132198997 and 5735132199015.

It is not an unprimeable number, because it can be changed into a prime (5735132199067) 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 31 ways as a sum of consecutive naturals, for example, 1520061 + ... + 3712256.

It is an arithmetic number, because the mean of its divisors is an integer number (189870355584).

Almost surely, 25735132199066 is an apocalyptic number.

5735132199066 is an abundant number, since it is smaller than the sum of its proper divisors (6416570558310).

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

5735132199066 is a wasteful number, since it uses less digits than its factorization.

5735132199066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5232507.

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

The spelling of 5735132199066 in words is "five trillion, seven hundred thirty-five billion, one hundred thirty-two million, one hundred ninety-nine thousand, sixty-six".

Divisors: 1 2 3 6 31 62 71 83 93 142 166 186 213 249 426 498 2201 2573 4402 5146 5893 6603 7719 11786 13206 15438 17679 35358 182683 365366 548049 1096098 5232317 10464634 15696951 31393902 162201827 324403654 371494507 434282311 486605481 742989014 868564622 973210962 1114483521 1302846933 2228967042 2605693866 11516329717 13462751641 23032659434 26925503282 30834044081 34548989151 40388254923 61668088162 69097978302 80776509846 92502132243 185004264486 955855366511 1911710733022 2867566099533 5735132199066