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4219896768 = 263372832099
BaseRepresentation
bin1111101110000110…
…1000001111000000
3101220002110222002220
43323201220033000
532120243144033
61534423011040
7206400350013
oct37341501700
911802428086
104219896768
11187602699a
12999299a80
13523354149
142c063537a
1519a70ebb3
hexfb8683c0

4219896768 has 112 divisors (see below), whose sum is σ = 11512905600. Its totient is φ = 1363129344.

The previous prime is 4219896767. The next prime is 4219896809. The reversal of 4219896768 is 8676989124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4219896761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2009383 + ... + 2011481.

It is an arithmetic number, because the mean of its divisors is an integer number (102793800).

Almost surely, 24219896768 is an apocalyptic number.

4219896768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4219896768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5756452800).

4219896768 is an abundant number, since it is smaller than the sum of its proper divisors (7293008832).

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

4219896768 is a wasteful number, since it uses less digits than its factorization.

4219896768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 2424 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 60.

The square root of 4219896768 is about 64960.7325081853. The cubic root of 4219896768 is about 1615.9724123644.

The spelling of 4219896768 in words is "four billion, two hundred nineteen million, eight hundred ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 283 296 444 566 592 849 888 1132 1184 1698 1776 2099 2264 2368 3396 3552 4198 4528 6297 6792 7104 8396 9056 10471 12594 13584 16792 18112 20942 25188 27168 31413 33584 41884 50376 54336 62826 67168 77663 83768 100752 125652 134336 155326 167536 201504 232989 251304 310652 335072 403008 465978 502608 594017 621304 670144 931956 1005216 1188034 1242608 1782051 1863912 2010432 2376068 2485216 3564102 3727824 4752136 4970432 7128204 7455648 9504272 14256408 14911296 19008544 21978629 28512816 38017088 43957258 57025632 65935887 87914516 114051264 131871774 175829032 263743548 351658064 527487096 703316128 1054974192 1406632256 2109948384 4219896768