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4294771712 = 21071154469
BaseRepresentation
bin1111111111111101…
…0000010000000000
3102002022101000012222
43333333100100000
532243430143322
61550055510212
7211266646220
oct37777202000
912068330188
104294771712
111904317610
129ba388368
13535a0b84a
142ca566080
151a209ee42
hexfffd0400

4294771712 has 88 divisors (see below), whose sum is σ = 10704008640. Its totient is φ = 1673256960.

The previous prime is 4294771711. The next prime is 4294771769. The reversal of 4294771712 is 2171774924.

4294771712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (4294771711) 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, 51614 + ... + 106082.

Almost surely, 24294771712 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 4294771712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5352004320).

4294771712 is an abundant number, since it is smaller than the sum of its proper divisors (6409236928).

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

4294771712 is a wasteful number, since it uses less digits than its factorization.

4294771712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54507 (or 54489 counting only the distinct ones).

The product of its digits is 197568, while the sum is 44.

The square root of 4294771712 is about 65534.5077955118. The cubic root of 4294771712 is about 1625.4740028825.

The spelling of 4294771712 in words is "four billion, two hundred ninety-four million, seven hundred seventy-one thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 512 616 704 896 1024 1232 1408 1792 2464 2816 3584 4928 5632 7168 9856 11264 19712 39424 54469 78848 108938 217876 381283 435752 599159 762566 871504 1198318 1525132 1743008 2396636 3050264 3486016 4194113 4793272 6100528 6972032 8388226 9586544 12201056 13944064 16776452 19173088 24402112 27888128 33552904 38346176 48804224 55776256 67105808 76692352 97608448 134211616 153384704 195216896 268423232 306769408 390433792 536846464 613538816 1073692928 2147385856 4294771712