Search a number
-
+
6390684919968 = 253359601308537
BaseRepresentation
bin101110011111111001010…
…0000010010100010100000
3211121221110211010211022220
41130333302200102202200
51314201110314414333
621331501244431040
71226466062353356
oct134776240224240
924557424124286
106390684919968
11204430203a2a8
12872683548480
1337483cb7015b
1418144cb9d7d6
15b1382bb78b3
hex5cff28128a0

6390684919968 has 96 divisors (see below), whose sum is σ = 16850321550720. Its totient is φ = 2120753049600.

The previous prime is 6390684919963. The next prime is 6390684919991. The reversal of 6390684919968 is 8699194860936.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 6390684919893 and 6390684919902.

It is not an unprimeable number, because it can be changed into a prime (6390684919963) 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 15 ways as a sum of consecutive naturals, for example, 20558596 + ... + 20867132.

It is an arithmetic number, because the mean of its divisors is an integer number (175524182820).

Almost surely, 26390684919968 is an apocalyptic number.

It is an amenable number.

6390684919968 is an abundant number, since it is smaller than the sum of its proper divisors (10459636630752).

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

6390684919968 is a wasteful number, since it uses less digits than its factorization.

6390684919968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309510 (or 309502 counting only the distinct ones).

The product of its (nonzero) digits is 1088391168, while the sum is 78.

The spelling of 6390684919968 in words is "six trillion, three hundred ninety billion, six hundred eighty-four million, nine hundred nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 359 601 718 1077 1202 1436 1803 2154 2404 2872 3606 4308 4808 5744 7212 8616 9616 11488 14424 17232 19232 28848 34464 57696 215759 308537 431518 617074 647277 863036 925611 1234148 1294554 1726072 1851222 2468296 2589108 3452144 3702444 4936592 5178216 6904288 7404888 9873184 10356432 14809776 20712864 29619552 110764783 185430737 221529566 332294349 370861474 443059132 556292211 664588698 741722948 886118264 1112584422 1329177396 1483445896 1772236528 2225168844 2658354792 2966891792 3544473056 4450337688 5316709584 5933783584 8900675376 10633419168 17801350752 66569634583 133139269166 199708903749 266278538332 399417807498 532557076664 798835614996 1065114153328 1597671229992 2130228306656 3195342459984 6390684919968