Search a number
-
+
469379973964 = 22111943121710729
BaseRepresentation
bin1101101010010010011…
…10100000001101001100
31122212112220020020001011
412311021032200031030
530142242233131324
6555344041455004
745624446643406
oct6651116401514
91585486206034
10469379973964
11171076838760
1276b764a1464
1335354497b85
1418a0a6dbb76
15c322882c94
hex6d493a034c

469379973964 has 96 divisors (see below), whose sum is σ = 966070828800. Its totient is φ = 197244149760.

The previous prime is 469379973929. The next prime is 469379973967.

469379973964 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (76).

It is not an unprimeable number, because it can be changed into a prime (469379973967) 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, 43743352 + ... + 43754080.

It is an arithmetic number, because the mean of its divisors is an integer number (10063237800).

Almost surely, 2469379973964 is an apocalyptic number.

469379973964 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

469379973964 is an abundant number, since it is smaller than the sum of its proper divisors (496690854836).

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

469379973964 is a wasteful number, since it uses less digits than its factorization.

469379973964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12023 (or 12021 counting only the distinct ones).

The product of its digits is 1666598976, while the sum is 76.

The spelling of 469379973964 in words is "four hundred sixty-nine billion, three hundred seventy-nine million, nine hundred seventy-three thousand, nine hundred sixty-four".

Divisors: 1 2 4 11 19 22 38 43 44 76 86 172 209 418 473 817 836 946 1217 1634 1892 2434 3268 4868 8987 10729 13387 17974 21458 23123 26774 35948 42916 46246 52331 53548 92492 104662 118019 203851 209324 236038 254353 407702 461347 472076 508706 575641 815404 922694 994289 1017412 1151282 1845388 1988578 2242361 2302564 3977156 4484722 5074817 8765593 8969444 10149634 10937179 13057193 17531186 20299268 21874358 26114386 35062372 43748716 52228772 96421523 143629123 192843046 248086667 287258246 385686092 496173334 561459299 574516492 992346668 1122918598 2245837196 2728953337 5457906674 6176052289 10667726681 10915813348 12352104578 21335453362 24704209156 42670906724 117344993491 234689986982 469379973964