Search a number
-
+
21154532365164 = 223113123321221677
BaseRepresentation
bin1001100111101011011000…
…11000110001001101101100
32202220100112201210110011210
410303311230120301031230
510233043440241141124
6112554131421314420
74312236014141532
oct463655430611554
982810481713153
1021154532365164
116816650028110
122457a82105a10
13ba5b2cb27bb3
14531c55d88152
1526a42805ea29
hex133d6c63136c

21154532365164 has 96 divisors (see below), whose sum is σ = 55587563845632. Its totient is φ = 6203381184000.

The previous prime is 21154532365159. The next prime is 21154532365171. The reversal of 21154532365164 is 46156323545112.

It is a happy number.

It is a super-4 number, since 4×211545323651644 (a number of 54 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95318694 + ... + 95540370.

It is an arithmetic number, because the mean of its divisors is an integer number (579037123392).

Almost surely, 221154532365164 is an apocalyptic number.

It is an amenable number.

21154532365164 is an abundant number, since it is smaller than the sum of its proper divisors (34433031480468).

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

21154532365164 is a wasteful number, since it uses less digits than its factorization.

21154532365164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245047 (or 245045 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 48.

The spelling of 21154532365164 in words is "twenty-one trillion, one hundred fifty-four billion, five hundred thirty-two million, three hundred sixty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 4092 23321 46642 69963 93284 139926 221677 256531 279852 443354 513062 665031 722951 769593 886708 1026124 1330062 1445902 1539186 2168853 2438447 2660124 2891804 3078372 4337706 4876894 6871987 7315341 7952461 8675412 9753788 13743974 14630682 15904922 20615961 23857383 27487948 29261364 31809844 41231922 47714766 75591857 82463844 95429532 151183714 226775571 302367428 453551142 907102284 5169729317 10339458634 15509187951 20678917268 31018375902 56867022487 62036751804 113734044974 160261608827 170601067461 227468089948 320523217654 341202134922 480784826481 641046435308 682404269844 961569652962 1762877697097 1923139305924 3525755394194 5288633091291 7051510788388 10577266182582 21154532365164