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4297664512 = 211292692
BaseRepresentation
bin1000000000010100…
…10010100000000000
3102002111210222101201
410000022102200000
532300200231022
61550241510544
7211333355101
oct40012224000
912074728351
104297664512
111905a12a59
129bb342454
135364b246b
142caaba3a8
151a2472127
hex100292800

4297664512 has 72 divisors (see below), whose sum is σ = 8922718350. Its totient is φ = 2067021824.

The previous prime is 4297664491. The next prime is 4297664513. The reversal of 4297664512 is 2154667924.

It can be written as a sum of positive squares in 3 ways, for example, as 1633453056 + 2664211456 = 40416^2 + 51616^2 .

It is not an unprimeable number, because it can be changed into a prime (4297664513) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15976314 + ... + 15976582.

Almost surely, 24297664512 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 4297664512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4461359175).

4297664512 is an abundant number, since it is smaller than the sum of its proper divisors (4625053838).

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

4297664512 is an frugal number, since it uses more digits than its factorization.

4297664512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 300 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The square root of 4297664512 is about 65556.5748952765. The cubic root of 4297664512 is about 1625.8388741080.

The spelling of 4297664512 in words is "four billion, two hundred ninety-seven million, six hundred sixty-four thousand, five hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 269 464 512 538 928 1024 1076 1856 2048 2152 3712 4304 7424 7801 8608 14848 15602 17216 29696 31204 34432 59392 62408 68864 72361 124816 137728 144722 249632 275456 289444 499264 550912 578888 998528 1157776 1997056 2098469 2315552 3994112 4196938 4631104 7988224 8393876 9262208 15976448 16787752 18524416 33575504 37048832 67151008 74097664 134302016 148195328 268604032 537208064 1074416128 2148832256 4297664512