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4714187472 = 2433101910709
BaseRepresentation
bin1000110001111110…
…01100101011010000
3110011112120112111000
410120333030223100
534123312444342
62055441222000
7224551634541
oct43077145320
913145515430
104714187472
111aaa043905
12ab6931900
135a188a657
1432a1424c8
151c8ceb44c
hex118fccad0

4714187472 has 80 divisors (see below), whose sum is σ = 13546008000. Its totient is φ = 1569707136.

The previous prime is 4714187447. The next prime is 4714187507. The reversal of 4714187472 is 2747814174.

4714187472 is a `hidden beast` number, since 471 + 41 + 8 + 74 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 434854 + ... + 445562.

It is an arithmetic number, because the mean of its divisors is an integer number (169325100).

Almost surely, 24714187472 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 4714187472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773004000).

4714187472 is an abundant number, since it is smaller than the sum of its proper divisors (8831820528).

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

4714187472 is a wasteful number, since it uses less digits than its factorization.

4714187472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11745 (or 11733 counting only the distinct ones).

The product of its digits is 351232, while the sum is 45.

The square root of 4714187472 is about 68659.9408097618. The cubic root of 4714187472 is about 1676.7524508112.

The spelling of 4714187472 in words is "four billion, seven hundred fourteen million, one hundred eighty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1019 2038 3057 4076 6114 8152 9171 10709 12228 16304 18342 21418 24456 27513 32127 36684 42836 48912 55026 64254 73368 85672 96381 110052 128508 146736 171344 192762 220104 257016 289143 385524 440208 514032 578286 771048 1156572 1542096 2313144 4626288 10912471 21824942 32737413 43649884 65474826 87299768 98212239 130949652 174599536 196424478 261899304 294636717 392848956 523798608 589273434 785697912 1178546868 1571395824 2357093736 4714187472