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8010271472 = 247294710789
BaseRepresentation
bin1110111010111001…
…10000101011110000
3202200020201221201012
413131130300223300
5112401112141342
63402503530052
7402334120100
oct73534605360
922606657635
108010271472
113440653575
121676759928
139a86cb408
1455dbbd200
1531d378b82
hex1dd730af0

8010271472 has 60 divisors (see below), whose sum is σ = 18074501640. Its totient is φ = 3429030528.

The previous prime is 8010271457. The next prime is 8010271483. The reversal of 8010271472 is 2741720108.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 737054 + ... + 747842.

It is an arithmetic number, because the mean of its divisors is an integer number (301241694).

Almost surely, 28010271472 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 8010271472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9037250820).

8010271472 is an abundant number, since it is smaller than the sum of its proper divisors (10064230168).

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

8010271472 is a wasteful number, since it uses less digits than its factorization.

8010271472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11758 (or 11745 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The square root of 8010271472 is about 89500.1199552269. The cubic root of 8010271472 is about 2000.8555899307.

The spelling of 8010271472 in words is "eight billion, ten million, two hundred seventy-one thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 947 1894 3788 6629 7576 10789 13258 15152 21578 26516 43156 46403 53032 75523 86312 92806 106064 151046 172624 185612 302092 371224 528661 604184 742448 1057322 1208368 2114644 4229288 8458576 10217183 20434366 40868732 71520281 81737464 143040562 163474928 286081124 500641967 572162248 1001283934 1144324496 2002567868 4005135736 8010271472