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112828361481 = 33112114194297
BaseRepresentation
bin110100100010100011…
…0000010101100001001
3101210020012110121221000
41221011012002230021
53322033030031411
6123455503205213
711102664151203
oct1510506025411
9353205417830
10112828361481
1143939739a40
1219a49ba6809
13a841477394
145664aab773
152e05585956
hex1a45182b09

112828361481 has 64 divisors (see below), whose sum is σ = 183693081600. Its totient is φ = 67878518400.

The previous prime is 112828361479. The next prime is 112828361491. The reversal of 112828361481 is 184163828211.

112828361481 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 28 + 3 + 614 + 8 + 1 = 666.

It is not a de Polignac number, because 112828361481 - 21 = 112828361479 is a prime.

It is a super-2 number, since 2×1128283614812 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (112828361411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26255325 + ... + 26259621.

It is an arithmetic number, because the mean of its divisors is an integer number (2870204400).

Almost surely, 2112828361481 is an apocalyptic number.

112828361481 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112828361481 is a deficient number, since it is larger than the sum of its proper divisors (70864720119).

112828361481 is a wasteful number, since it uses less digits than its factorization.

112828361481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4947 (or 4941 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The spelling of 112828361481 in words is "one hundred twelve billion, eight hundred twenty-eight million, three hundred sixty-one thousand, four hundred eighty-one".

Divisors: 1 3 9 11 27 33 99 211 297 419 633 1257 1899 2321 3771 4297 4609 5697 6963 11313 12891 13827 20889 38673 41481 47267 62667 88409 116019 124443 141801 265227 425403 795681 906667 972499 1276209 1800443 2387043 2720001 2917497 5401329 8160003 8752491 9973337 16203987 19804873 24480009 26257473 29920011 48611961 59414619 89760033 178243857 269280099 379893473 534731571 1139680419 3419041257 4178828203 10257123771 12536484609 37609453827 112828361481