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112166466024 = 23341701162611
BaseRepresentation
bin110100001110110100…
…1000111000111101000
3101201112001222212001110
41220131221013013220
53314204103403044
6123310100350320
711050406141634
oct1503551070750
9351461885043
10112166466024
114362a0560a8
12198a43a53a0
13a7672b9b72
145600c11dc4
152db73dd6b9
hex1a1da471e8

112166466024 has 64 divisors (see below), whose sum is σ = 287667132480. Its totient is φ = 36424640000.

The previous prime is 112166465993. The next prime is 112166466029. The reversal of 112166466024 is 420664661211.

It is a super-2 number, since 2×1121664660242 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (112166466029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 608479 + ... + 771089.

It is an arithmetic number, because the mean of its divisors is an integer number (4494798945).

Almost surely, 2112166466024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112166466024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143833566240).

112166466024 is an abundant number, since it is smaller than the sum of its proper divisors (175500666456).

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

112166466024 is a wasteful number, since it uses less digits than its factorization.

112166466024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163362 (or 163358 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 112166466024 in words is "one hundred twelve billion, one hundred sixty-six million, four hundred sixty-six thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 701 984 1402 2103 2804 4206 5608 8412 16824 28741 57482 86223 114964 162611 172446 229928 325222 344892 487833 650444 689784 975666 1300888 1951332 3902664 6667051 13334102 20001153 26668204 40002306 53336408 80004612 113990311 160009224 227980622 341970933 455961244 683941866 911922488 1367883732 2735767464 4673602751 9347205502 14020808253 18694411004 28041616506 37388822008 56083233012 112166466024