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107241086444464 = 24723402110353359
BaseRepresentation
bin11000011000100100000010…
…110111001110001110110000
3112001201010222200221211021201
4120120210002313032032300
5103024014221112210324
61020025512555300544
731405625044315030
oct3030440267161660
9461633880854251
10107241086444464
113119676458a545
121004005aa4a754
1347aba38c5892b
141c6a6d3b078c0
15c5e8c04d4444
hex618902dce3b0

107241086444464 has 80 divisors (see below), whose sum is σ = 247848505251840. Its totient is φ = 43951247112960.

The previous prime is 107241086444363. The next prime is 107241086444473. The reversal of 107241086444464 is 464444680142701.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5181417 + ... + 15534775.

It is an arithmetic number, because the mean of its divisors is an integer number (3098106315648).

Almost surely, 2107241086444464 is an apocalyptic number.

107241086444464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107241086444464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123924252625920).

107241086444464 is an abundant number, since it is smaller than the sum of its proper divisors (140607418807376).

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

107241086444464 is a wasteful number, since it uses less digits than its factorization.

107241086444464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10357418 (or 10357412 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 55.

The spelling of 107241086444464 in words is "one hundred seven trillion, two hundred forty-one billion, eighty-six million, four hundred forty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 1288 2576 4021 8042 16084 28147 32168 56294 64336 92483 112588 184966 225176 369932 450352 647381 739864 1294762 1479728 2589524 5179048 10353359 10358096 20706718 41413436 72473513 82826872 144947026 165653744 238127257 289894052 476254514 579788104 952509028 1159576208 1666890799 1905018056 3333781598 3810036112 6667563196 13335126392 26670252784 41630856539 83261713078 166523426156 291415995773 333046852312 582831991546 666093704624 957509700397 1165663983092 1915019400794 2331327966184 3830038801588 4662655932368 6702567902779 7660077603176 13405135805558 15320155206352 26810271611116 53620543222232 107241086444464