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6380606880 = 2532510741411
BaseRepresentation
bin1011111000101000…
…00101010110100000
3121110200020102011100
411330110011112200
5101031413410010
62533050314400
7314055156264
oct57424052640
917420212140
106380606880
11278476042a
1212a0a28a00
137a8baa23b
144475a60a4
1527526a2c0
hex17c5055a0

6380606880 has 144 divisors (see below), whose sum is σ = 21977845344. Its totient is φ = 1685552640.

The previous prime is 6380606867. The next prime is 6380606887. The reversal of 6380606880 is 886060836.

6380606880 is a `hidden beast` number, since 6 + 38 + 0 + 606 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6380606887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133375 + ... + 174785.

It is an arithmetic number, because the mean of its divisors is an integer number (152623926).

Almost surely, 26380606880 is an apocalyptic number.

6380606880 is a gapful number since it is divisible by the number (60) 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 6380606880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10988922672).

6380606880 is an abundant number, since it is smaller than the sum of its proper divisors (15597238464).

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

6380606880 is a wasteful number, since it uses less digits than its factorization.

6380606880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41539 (or 41528 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 6380606880 is about 79878.7010410159. The cubic root of 6380606880 is about 1854.7583258847.

The spelling of 6380606880 in words is "six billion, three hundred eighty million, six hundred six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 107 120 144 160 180 214 240 288 321 360 428 480 535 642 720 856 963 1070 1284 1440 1605 1712 1926 2140 2568 3210 3424 3852 4280 4815 5136 6420 7704 8560 9630 10272 12840 15408 17120 19260 25680 30816 38520 41411 51360 77040 82822 124233 154080 165644 207055 248466 331288 372699 414110 496932 621165 662576 745398 828220 993864 1242330 1325152 1490796 1656440 1863495 1987728 2484660 2981592 3312880 3726990 3975456 4430977 4969320 5963184 6625760 7453980 8861954 9938640 11926368 13292931 14907960 17723908 19877280 22154885 26585862 29815920 35447816 39878793 44309770 53171724 59631840 66464655 70895632 79757586 88619540 106343448 132929310 141791264 159515172 177239080 199393965 212686896 265858620 319030344 354478160 398787930 425373792 531717240 638060688 708956320 797575860 1063434480 1276121376 1595151720 2126868960 3190303440 6380606880