Search a number
-
+
21136754301304 = 2317223421944149
BaseRepresentation
bin1001100111001010010001…
…01110110101100101111000
32202211122122202020020022011
410303211020232311211320
510232301033100120204
6112542031343535304
74311036322115545
oct463451056654570
982748582206264
1021136754301304
11680a057850654
1224545402ba534
13ba4258892395
1453104ac0dbcc
15269c373e5304
hex133948bb5978

21136754301304 has 96 divisors (see below), whose sum is σ = 44034627276000. Its totient is φ = 9491633141760.

The previous prime is 21136754301263. The next prime is 21136754301329. The reversal of 21136754301304 is 40310345763112.

It is a happy number.

It is a super-2 number, since 2×211367543013042 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 21915022 + ... + 22859170.

It is an arithmetic number, because the mean of its divisors is an integer number (458694034125).

Almost surely, 221136754301304 is an apocalyptic number.

It is an amenable number.

21136754301304 is an abundant number, since it is smaller than the sum of its proper divisors (22897872974696).

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

21136754301304 is a wasteful number, since it uses less digits than its factorization.

21136754301304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944633 (or 944612 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 21136754301304 in words is "twenty-one trillion, one hundred thirty-six billion, seven hundred fifty-four million, three hundred one thousand, three hundred four".

Divisors: 1 2 4 8 17 23 34 46 68 92 136 184 289 391 421 578 782 842 1156 1564 1684 2312 3128 3368 6647 7157 9683 13294 14314 19366 26588 28628 38732 53176 57256 77464 121669 164611 243338 329222 486676 658444 944149 973352 1316888 1888298 2798387 3776596 5596774 7553192 11193548 16050533 21715427 22387096 32101066 43430854 64202132 86861708 128404264 173723416 272859061 369162259 397486729 545718122 738324518 794973458 1091436244 1476649036 1589946916 2182872488 2953298072 3179893832 6275758403 6757274393 9142194767 12551516806 13514548786 18284389534 25103033612 27029097572 36568779068 50206067224 54058195144 73137558136 114873664681 155417311039 229747329362 310834622078 459494658724 621669244156 918989317448 1243338488312 2642094287663 5284188575326 10568377150652 21136754301304