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84155284107348 = 223173160292207213
BaseRepresentation
bin10011001000100111101101…
…110100001011000001010100
3102000222011111102222201000020
4103020213231310023001110
542012300010212413343
6454552223115545140
723504006251220466
oct2310475564130124
9360864442881006
1084155284107348
11248a6067a55a23
129531a3645b1b0
1337c5a69b90a2c
1416ad1cd380136
159ae113349b83
hex4c89edd0b054

84155284107348 has 96 divisors (see below), whose sum is σ = 214655622773760. Its totient is φ = 25545741957120.

The previous prime is 84155284107343. The next prime is 84155284107383. The reversal of 84155284107348 is 84370148255148.

It is a super-2 number, since 2×841552841073482 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 84155284107291 and 84155284107300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84155284107343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37023790 + ... + 39231002.

It is an arithmetic number, because the mean of its divisors is an integer number (2235996070560).

Almost surely, 284155284107348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84155284107348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107327811386880).

84155284107348 is an abundant number, since it is smaller than the sum of its proper divisors (130500338666412).

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

84155284107348 is a wasteful number, since it uses less digits than its factorization.

84155284107348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213297 (or 2213295 counting only the distinct ones).

The product of its (nonzero) digits is 34406400, while the sum is 60.

The spelling of 84155284107348 in words is "eighty-four trillion, one hundred fifty-five billion, two hundred eighty-four million, one hundred seven thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 372 527 1054 1581 2108 3162 6029 6324 12058 18087 24116 36174 72348 102493 186899 204986 307479 373798 409972 560697 614958 747596 1121394 1229916 2207213 2242788 3177283 4414426 6354566 6621639 8828852 9531849 12709132 13243278 19063698 26486556 37522621 38127396 68423603 75045242 112567863 136847206 150090484 205270809 225135726 273694412 410541618 450271452 821083236 1163201251 2326402502 3489603753 4652805004 6979207506 13307287177 13958415012 26614574354 39921861531 53229148708 79843723062 159687446124 226223882009 412525902487 452447764018 678671646027 825051804974 904895528036 1237577707461 1357343292054 1650103609948 2475155414922 2714686584108 4950310829844 7012940342279 14025880684558 21038821026837 28051761369116 42077642053674 84155284107348