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474906074112 = 2103514912809
BaseRepresentation
bin1101110100100101001…
…10111001110000000000
31200101211000120012100000
412322102212321300000
530240101423332422
61002100245200000
746211421011511
oct6722246716000
91611730505300
10474906074112
11173452109578
1278059100000
1335a25319712
1418db25caa08
15c547aaacac
hex6e929b9c00

474906074112 has 264 divisors, whose sum is σ = 1431725022000. Its totient is φ = 157227319296.

The previous prime is 474906074009. The next prime is 474906074171. The reversal of 474906074112 is 211470609474.

474906074112 is a `hidden beast` number, since 47 + 490 + 6 + 0 + 7 + 4 + 112 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37069564 + ... + 37082372.

Almost surely, 2474906074112 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 474906074112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715862511000).

474906074112 is an abundant number, since it is smaller than the sum of its proper divisors (956818947888).

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

474906074112 is a wasteful number, since it uses less digits than its factorization.

474906074112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12993 (or 12963 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 474906074112 in words is "four hundred seventy-four billion, nine hundred six million, seventy-four thousand, one hundred twelve".