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5484857587416 = 2333241270738923
BaseRepresentation
bin100111111010000101011…
…1111001111011011011000
3201102100101011012120122000
41033310022333033123120
51204330442020244131
615355413033201000
71104160612153164
oct117641277173330
921370334176560
105484857587416
11182512a133299
12747003860160
1330a2b202279c
1414d67b8b3ca4
1597a18cadce6
hex4fd0afcf6d8

5484857587416 has 128 divisors (see below), whose sum is σ = 15304979078400. Its totient is φ = 1819980264960.

The previous prime is 5484857587409. The next prime is 5484857587439. The reversal of 5484857587416 is 6147857584845.

5484857587416 is a `hidden beast` number, since 5 + 4 + 8 + 4 + 8 + 575 + 8 + 7 + 41 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140896131 + ... + 140935053.

It is an arithmetic number, because the mean of its divisors is an integer number (119570149050).

Almost surely, 25484857587416 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 5484857587416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7652489539200).

5484857587416 is an abundant number, since it is smaller than the sum of its proper divisors (9820121490984).

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

5484857587416 is a wasteful number, since it uses less digits than its factorization.

5484857587416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41886 (or 41876 counting only the distinct ones).

The product of its digits is 1204224000, while the sum is 72.

The spelling of 5484857587416 in words is "five trillion, four hundred eighty-four billion, eight hundred fifty-seven million, five hundred eighty-seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 241 482 723 964 1446 1928 2169 2707 2892 4338 5414 5784 6507 8121 8676 10828 13014 16242 17352 21656 24363 26028 32484 38923 48726 52056 64968 73089 77846 97452 116769 146178 155692 194904 233538 292356 311384 350307 467076 584712 652387 700614 934152 1050921 1304774 1401228 1957161 2101842 2609548 2802456 3914322 4203684 5219096 5871483 7828644 8407368 9380443 11742966 15657288 17614449 18760886 23485932 28141329 35228898 37521772 46971864 56282658 70457796 75043544 84423987 105364561 112565316 140915592 168847974 210729122 225130632 253271961 316093683 337695948 421458244 506543922 632187366 675391896 842916488 948281049 1013087844 1264374732 1896562098 2026175688 2528749464 2844843147 3793124196 5689686294 7586248392 11379372588 22758745176 25392859201 50785718402 76178577603 101571436804 152357155206 203142873608 228535732809 304714310412 457071465618 609428620824 685607198427 914142931236 1371214396854 1828285862472 2742428793708 5484857587416