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4086219264 = 2937189421
BaseRepresentation
bin1111001110001110…
…1100001000000000
3101112202221110001020
43303203230020000
531332033004024
61513245505440
7203155201461
oct36343541000
911482843036
104086219264
111807623016
12960572280
1350174b82a
142aa998d68
1518db06979
hexf38ec200

4086219264 has 160 divisors (see below), whose sum is σ = 11189819520. Its totient is φ = 1324646400.

The previous prime is 4086219253. The next prime is 4086219271. The reversal of 4086219264 is 4629126804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9705774 + ... + 9706194.

It is an arithmetic number, because the mean of its divisors is an integer number (69936372).

Almost surely, 24086219264 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 4086219264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5594909760).

4086219264 is an abundant number, since it is smaller than the sum of its proper divisors (7103600256).

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

4086219264 is an equidigital number, since it uses as much as digits as its factorization.

4086219264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 4086219264 is about 63923.5423298803. The cubic root of 4086219264 is about 1598.7254516403.

The spelling of 4086219264 in words is "four billion, eighty-six million, two hundred nineteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 89 96 128 142 178 192 213 256 267 284 356 384 421 426 512 534 568 712 768 842 852 1068 1136 1263 1424 1536 1684 1704 2136 2272 2526 2848 3368 3408 4272 4544 5052 5696 6319 6736 6816 8544 9088 10104 11392 12638 13472 13632 17088 18176 18957 20208 22784 25276 26944 27264 29891 34176 36352 37469 37914 40416 45568 50552 53888 54528 59782 68352 74938 75828 80832 89673 101104 107776 109056 112407 119564 136704 149876 151656 161664 179346 202208 215552 224814 239128 299752 303312 323328 358692 404416 449628 478256 599504 606624 646656 717384 808832 899256 956512 1199008 1213248 1434768 1617664 1798512 1913024 2398016 2426496 2660299 2869536 3235328 3597024 3826048 4796032 4852992 5320598 5739072 7194048 7652096 7980897 9592064 9705984 10641196 11478144 14388096 15304192 15961794 19184128 21282392 22956288 28776192 31923588 42564784 45912576 57552384 63847176 85129568 127694352 170259136 255388704 340518272 510777408 681036544 1021554816 1362073088 2043109632 4086219264