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506110160116 = 221127314996137
BaseRepresentation
bin1110101110101101000…
…01000010110011110100
31210101100200120000012001
413113112201002303310
531243003200110431
61024300453105044
751364611244261
oct7272641026364
91711320500161
10506110160116
11185704a9a200
1282107328184
1338958ca6a32
141a6d290a268
15d27227ae61
hex75d6842cf4

506110160116 has 72 divisors (see below), whose sum is σ = 993499705800. Its totient is φ = 225373547520.

The previous prime is 506110160099. The next prime is 506110160137. The reversal of 506110160116 is 611061011605.

It can be written as a sum of positive squares in 4 ways, for example, as 77941472400 + 428168687716 = 279180^2 + 654346^2 .

It is a super-2 number, since 2×5061101601162 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5216400 + ... + 5312536.

It is an arithmetic number, because the mean of its divisors is an integer number (13798607025).

Almost surely, 2506110160116 is an apocalyptic number.

It is an amenable number.

506110160116 is a deficient number, since it is larger than the sum of its proper divisors (487389545684).

506110160116 is a wasteful number, since it uses less digits than its factorization.

506110160116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96385 (or 96372 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 28.

The spelling of 506110160116 in words is "five hundred six billion, one hundred ten million, one hundred sixty thousand, one hundred sixteen".

Divisors: 1 2 4 11 22 44 73 121 146 149 242 292 298 484 596 803 1606 1639 3212 3278 6556 8833 10877 17666 18029 21754 35332 36058 43508 72116 96137 119647 192274 239294 384548 478588 1057507 1316117 2115014 2632234 4230028 5264468 7018001 11632577 14036002 14324413 23265154 28072004 28648826 46530308 57297652 77198011 154396022 157568543 308792044 315137086 630274172 849178121 1045682149 1698356242 1733253973 2091364298 3396712484 3466507946 4182728596 6933015892 11502503639 23005007278 46010014556 126527540029 253055080058 506110160116