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4415555680 = 255314121713
BaseRepresentation
bin1000001110011000…
…00000100001100000
3102101201122110200021
410013030000201200
533020340240210
62010052403224
7214264414114
oct40714004140
912351573607
104415555680
111966514378
12a32916514
13554a4b553
142dc607744
151ac9acbda
hex107300860

4415555680 has 96 divisors (see below), whose sum is σ = 11031406848. Its totient is φ = 1667481600.

The previous prime is 4415555659. The next prime is 4415555701. The reversal of 4415555680 is 865555144.

It is an interprime number because it is at equal distance from previous prime (4415555659) and next prime (4415555701).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192504 + ... + 214216.

It is an arithmetic number, because the mean of its divisors is an integer number (114910488).

Almost surely, 24415555680 is an apocalyptic number.

4415555680 is a gapful number since it is divisible by the number (40) 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 4415555680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5515703424).

4415555680 is an abundant number, since it is smaller than the sum of its proper divisors (6615851168).

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

4415555680 is a wasteful number, since it uses less digits than its factorization.

4415555680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21800 (or 21792 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 43.

The square root of 4415555680 is about 66449.6477041075. The cubic root of 4415555680 is about 1640.5713456461.

The spelling of 4415555680 in words is "four billion, four hundred fifteen million, five hundred fifty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 41 62 80 82 124 155 160 164 205 248 310 328 410 496 620 656 820 992 1240 1271 1312 1640 2480 2542 3280 4960 5084 6355 6560 10168 12710 20336 21713 25420 40672 43426 50840 86852 101680 108565 173704 203360 217130 347408 434260 673103 694816 868520 890233 1346206 1737040 1780466 2692412 3365515 3474080 3560932 4451165 5384824 6731030 7121864 8902330 10769648 13462060 14243728 17804660 21539296 26924120 27597223 28487456 35609320 53848240 55194446 71218640 107696480 110388892 137986115 142437280 220777784 275972230 441555568 551944460 883111136 1103888920 2207777840 4415555680