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6412162416 = 2431112144247
BaseRepresentation
bin1011111100011000…
…11101010101110000
3121112212121121012220
411332030131111300
5101113003144131
62540134521040
7314620324032
oct57614352560
917485547186
106412162416
1127a0553590
1212ab506180
137b25a825a
1444b85bc52
15277deee96
hex17e31d570

6412162416 has 40 divisors (see below), whose sum is σ = 18070641024. Its totient is φ = 1943079360.

The previous prime is 6412162411. The next prime is 6412162423. The reversal of 6412162416 is 6142612146.

It is a super-2 number, since 2×64121624162 = 82231653698325914112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6412162411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6071596 + ... + 6072651.

Almost surely, 26412162416 is an apocalyptic number.

6412162416 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6412162416 is an abundant number, since it is smaller than the sum of its proper divisors (11658478608).

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

6412162416 is a wasteful number, since it uses less digits than its factorization.

6412162416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12144269 (or 12144263 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 6412162416 is about 80075.9790199283. The cubic root of 6412162416 is about 1857.8108920154.

The spelling of 6412162416 in words is "six billion, four hundred twelve million, one hundred sixty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 12144247 24288494 36432741 48576988 72865482 97153976 133586717 145730964 194307952 267173434 291461928 400760151 534346868 582923856 801520302 1068693736 1603040604 2137387472 3206081208 6412162416