Search a number
-
+
84989888898948 = 223311317225679213
BaseRepresentation
bin10011010100110001000000…
…001000110010011110000100
3102010220221202111010222221000
4103110301000020302132010
542114433243024231243
6500431452125053300
723621213451001665
oct2324610010623604
9363827674128830
1084989888898948
1125098011668840
1296477399b7230
133856687209747
1416db76553736c
159c5bae6535d3
hex4d4c40232784

84989888898948 has 96 divisors (see below), whose sum is σ = 241133726574720. Its totient is φ = 25673267157120.

The previous prime is 84989888898847. The next prime is 84989888898949.

84989888898948 is a `hidden beast` number, since 8 + 498 + 9 + 8 + 8 + 8 + 8 + 9 + 8 + 94 + 8 = 666.

84989888898948 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×849898888989483 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (108).

It is a self number, because there is not a number n which added to its sum of digits gives 84989888898948.

It is not an unprimeable number, because it can be changed into a prime (84989888898949) 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, 112463011 + ... + 113216202.

It is an arithmetic number, because the mean of its divisors is an integer number (2511809651820).

Almost surely, 284989888898948 is an apocalyptic number.

It is an amenable number.

84989888898948 is an abundant number, since it is smaller than the sum of its proper divisors (156143837675772).

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

84989888898948 is a wasteful number, since it uses less digits than its factorization.

84989888898948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225679554 (or 225679546 counting only the distinct ones).

The product of its digits is 1761205026816, while the sum is 108.

The spelling of 84989888898948 in words is "eighty-four trillion, nine hundred eighty-nine billion, eight hundred eighty-eight million, eight hundred ninety-eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 317 396 594 634 951 1188 1268 1902 2853 3487 3804 5706 6974 8559 10461 11412 13948 17118 20922 31383 34236 41844 62766 94149 125532 188298 376596 225679213 451358426 677037639 902716852 1354075278 2031112917 2482471343 2708150556 4062225834 4964942686 6093338751 7447414029 8124451668 9929885372 12186677502 14894828058 22342242087 24373355004 29789656116 44684484174 67026726261 71540310521 89368968348 134053452522 143080621042 214620931563 268106905044 286161242084 429241863126 643862794689 786943415731 858483726252 1287725589378 1573886831462 1931588384067 2360830247193 2575451178756 3147773662924 3863176768134 4721660494386 7082490741579 7726353536268 9443320988772 14164981483158 21247472224737 28329962966316 42494944449474 84989888898948