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4011609856 = 28375361131
BaseRepresentation
bin1110111100011100…
…0100111100000000
3101100120112220011211
43233013010330000
531203433003411
61502022415504
7201261056362
oct35707047400
911316486154
104011609856
1117794a3951
1293b591594
134bc157c57
142a0ad6d32
151872ba221
hexef1c4f00

4011609856 has 144 divisors (see below), whose sum is σ = 8581513248. Its totient is φ = 1869004800.

The previous prime is 4011609853. The next prime is 4011609869. The reversal of 4011609856 is 6589061104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4011609853) 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, 30622911 + ... + 30623041.

It is an arithmetic number, because the mean of its divisors is an integer number (59593842).

Almost surely, 24011609856 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 4011609856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4290756624).

4011609856 is an abundant number, since it is smaller than the sum of its proper divisors (4569903392).

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

4011609856 is a wasteful number, since it uses less digits than its factorization.

4011609856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 4011609856 is about 63337.2706705933. The cubic root of 4011609856 is about 1588.9353599686.

The spelling of 4011609856 in words is "four billion, eleven million, six hundred nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 37 53 61 64 74 106 122 128 131 148 212 244 256 262 296 424 488 524 592 848 976 1048 1184 1696 1952 1961 2096 2257 2368 3233 3392 3904 3922 4192 4514 4736 4847 6466 6784 6943 7808 7844 7991 8384 9028 9472 9694 12932 13568 13886 15616 15688 15982 16768 18056 19388 25864 27772 31376 31964 33536 36112 38776 51728 55544 62752 63928 72224 77552 103456 111088 119621 125504 127856 144448 155104 206912 222176 239242 251008 255712 256891 288896 295667 310208 413824 423523 444352 478484 502016 511424 513782 577792 591334 620416 827648 847046 888704 956968 1022848 1027564 1182668 1240832 1694092 1777408 1913936 2045696 2055128 2365336 3388184 3827872 4110256 4730672 6776368 7655744 8220512 9461344 13552736 15311488 15670351 16441024 18922688 27105472 30622976 31340702 32882048 37845376 54210944 62681404 65764096 75690752 108421888 125362808 250725616 501451232 1002902464 2005804928 4011609856