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5153862524944 = 24728929112
BaseRepresentation
bin100101011111111101000…
…1001010010000000010000
3200020201000112121020102011
41022333322021102000100
51133420102301244234
614543352440232304
71041232342434100
oct112777211220020
920221015536364
105153862524944
111707817041891
126b2a2a16b694
132b5012930133
1413b63c103200
158e0e546cb64
hex4affa252010

5153862524944 has 135 divisors (see below), whose sum is σ = 11760804189021. Its totient is φ = 2181582923520.

The previous prime is 5153862524927. The next prime is 5153862524959. The reversal of 5153862524944 is 4494252683515.

The square root of 5153862524944 is 2270212.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 989650915344 + 4164211609600 = 994812^2 + 2040640^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5657367849 + ... + 5657368759.

Almost surely, 25153862524944 is an apocalyptic number.

5153862524944 is the 2270212-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5153862524944

5153862524944 is an abundant number, since it is smaller than the sum of its proper divisors (6606941664077).

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

5153862524944 is an frugal number, since it uses more digits than its factorization.

5153862524944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 1009 counting only the distinct ones).

The product of its digits is 41472000, while the sum is 58.

The spelling of 5153862524944 in words is "five trillion, one hundred fifty-three billion, eight hundred sixty-two million, five hundred twenty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 89 98 112 178 196 356 392 623 712 784 911 1246 1424 1822 2492 3644 4361 4984 6377 7288 7921 8722 9968 12754 14576 15842 17444 25508 31684 34888 44639 51016 55447 63368 69776 81079 89278 102032 110894 126736 162158 178556 221788 324316 357112 388129 443576 567553 648632 714224 776258 829921 887152 1135106 1297264 1552516 1659842 2270212 3105032 3319684 3972871 4540424 5809447 6210064 6639368 7216031 7945742 9080848 11618894 13278736 14432062 15891484 23237788 28864124 31782968 40666129 46475576 50512217 57728248 63565936 73862969 81332258 92951152 101024434 115456496 147725938 162664516 202048868 295451876 325329032 353585519 404097736 517040783 590903752 650658064 707171038 808195472 1034081566 1181807504 1414342076 2068163132 2828684152 3619285481 4136326264 5657368304 6573804241 7238570962 8272652528 13147608482 14477141924 26295216964 28954283848 46016629687 52590433928 57908567696 92033259374 105180867856 184066518748 322116407809 368133037496 644232815618 736266074992 1288465631236 2576931262472 5153862524944