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4022466816 = 28312914057
BaseRepresentation
bin1110111111000001…
…1111100100000000
3101101022222111010110
43233300133210000
531214222414231
61503051231320
7201452255334
oct35760374400
911338874113
104022466816
111784639945
12943148540
134c14898a4
142a23217c4
15188212046
hexefc1f900

4022466816 has 72 divisors (see below), whose sum is σ = 10716561184. Its totient is φ = 1339453440.

The previous prime is 4022466797. The next prime is 4022466817. The reversal of 4022466816 is 6186642204.

4022466816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4022466817) 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, 989460 + ... + 993516.

Almost surely, 24022466816 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 4022466816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5358280592).

4022466816 is an abundant number, since it is smaller than the sum of its proper divisors (6694094368).

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

4022466816 is a wasteful number, since it uses less digits than its factorization.

4022466816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5367 (or 5353 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 4022466816 is about 63422.9202733523. The cubic root of 4022466816 is about 1590.3674922879.

The spelling of 4022466816 in words is "four billion, twenty-two million, four hundred sixty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1291 2582 3873 4057 5164 7746 8114 10328 12171 15492 16228 20656 24342 30984 32456 41312 48684 61968 64912 82624 97368 123936 129824 165248 194736 247872 259648 330496 389472 495744 519296 778944 991488 1038592 1557888 3115776 5237587 10475174 15712761 20950348 31425522 41900696 62851044 83801392 125702088 167602784 251404176 335205568 502808352 670411136 1005616704 1340822272 2011233408 4022466816