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5016054582 = 23271119718371
BaseRepresentation
bin1001010101111101…
…01110101100110110
3110221120120222022100
410222332232230312
540233102221312
62145423242530
7235205521560
oct45276565466
913846528270
105016054582
112144483060
12b7ba49446
1361c290246
14358280330
151e55785dc
hex12afaeb36

5016054582 has 96 divisors (see below), whose sum is σ = 13619384064. Its totient is φ = 1296187200.

The previous prime is 5016054581. The next prime is 5016054601. The reversal of 5016054582 is 2854506105.

5016054582 is a `hidden beast` number, since 5 + 0 + 1 + 605 + 45 + 8 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5016054581) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 263857 + ... + 282227.

It is an arithmetic number, because the mean of its divisors is an integer number (141868584).

Almost surely, 25016054582 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5016054582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6809692032).

5016054582 is an abundant number, since it is smaller than the sum of its proper divisors (8603329482).

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

5016054582 is a wasteful number, since it uses less digits than its factorization.

5016054582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18594 (or 18591 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 5016054582 is about 70824.1101744314. The cubic root of 5016054582 is about 1711.8041878977.

The spelling of 5016054582 in words is "five billion, sixteen million, fifty-four thousand, five hundred eighty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 197 198 231 394 462 591 693 1182 1379 1386 1773 2167 2758 3546 4137 4334 6501 8274 12411 13002 15169 18371 19503 24822 30338 36742 39006 45507 55113 91014 110226 128597 136521 165339 202081 257194 273042 330678 385791 404162 606243 771582 1157373 1212486 1414567 1818729 2314746 2829134 3619087 3637458 4243701 7238174 8487402 10857261 12731103 21714522 25333609 25462206 32571783 39809957 50667218 65143566 76000827 79619914 119429871 152001654 228002481 238859742 278669699 358289613 456004962 557339398 716579226 836009097 1672018194 2508027291 5016054582