Search a number
-
+
84238461761022 = 23316632731343481
BaseRepresentation
bin10011001001110101001011…
…100101101111010111111110
3102001021010012020102022101000
4103021311023211233113332
542020130332202323042
6455054340505431130
723513012416501512
oct2311651345572776
9361233166368330
1084238461761022
1124928370632268
129545b8a49b4a6
13380086443bc9a
1416b3240168142
159b13807a074c
hex4c9d4b96f5fe

84238461761022 has 64 divisors (see below), whose sum is σ = 187378279096320. Its totient is φ = 28052245166400.

The previous prime is 84238461760967. The next prime is 84238461761053. The reversal of 84238461761022 is 22016716483248.

84238461761022 is a `hidden beast` number, since 8 + 4 + 2 + 3 + 8 + 4 + 6 + 17 + 610 + 2 + 2 = 666.

It is a super-2 number, since 2×842384617610222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 84238461761022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245077522 + ... + 245421002.

It is an arithmetic number, because the mean of its divisors is an integer number (2927785610880).

Almost surely, 284238461761022 is an apocalyptic number.

84238461761022 is an abundant number, since it is smaller than the sum of its proper divisors (103139817335298).

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

84238461761022 is a wasteful number, since it uses less digits than its factorization.

84238461761022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347886 (or 347880 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 84238461761022 in words is "eighty-four trillion, two hundred thirty-eight billion, four hundred sixty-one million, seven hundred sixty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 1663 2731 3326 4989 5462 8193 9978 14967 16386 24579 29934 44901 49158 73737 89802 147474 343481 686962 1030443 2060886 3091329 4541653 6182658 9083306 9273987 13624959 18547974 27249918 40874877 81749754 122624631 245249262 571208903 938046611 1142417806 1713626709 1876093222 2814139833 3427253418 5140880127 5628279666 8442419499 10281760254 15422640381 16884838998 25327258497 30845280762 50654516994 1559971514093 3119943028186 4679914542279 9359829084558 14039743626837 28079487253674 42119230880511 84238461761022