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6328522080 = 2532527116217
BaseRepresentation
bin1011110010011010…
…11001010101100000
3121100001020020020200
411321031121111200
5100430100201310
62523550105200
7312553356456
oct57115312540
917301206220
106328522080
112758316341
1212874ab200
1379b171c2a
144406c89d6
152708cc9c0
hex179359560

6328522080 has 144 divisors (see below), whose sum is σ = 21677108544. Its totient is φ = 1681274880.

The previous prime is 6328522073. The next prime is 6328522117. The reversal of 6328522080 is 802258236.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 382132 + ... + 398348.

It is an arithmetic number, because the mean of its divisors is an integer number (150535476).

Almost surely, 26328522080 is an apocalyptic number.

6328522080 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 6328522080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10838554272).

6328522080 is an abundant number, since it is smaller than the sum of its proper divisors (15348586464).

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

6328522080 is a wasteful number, since it uses less digits than its factorization.

6328522080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16509 (or 16498 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 6328522080 is about 79552.0086484307. The cubic root of 6328522080 is about 1849.6977426815.

The spelling of 6328522080 in words is "six billion, three hundred twenty-eight million, five hundred twenty-two thousand, 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 96 120 144 160 180 240 271 288 360 480 542 720 813 1084 1355 1440 1626 2168 2439 2710 3252 4065 4336 4878 5420 6504 8130 8672 9756 10840 12195 13008 16217 16260 19512 21680 24390 26016 32434 32520 39024 43360 48651 48780 64868 65040 78048 81085 97302 97560 129736 130080 145953 162170 194604 195120 243255 259472 291906 324340 389208 390240 486510 518944 583812 648680 729765 778416 973020 1167624 1297360 1459530 1556832 1946040 2335248 2594720 2919060 3892080 4394807 4670496 5838120 7784160 8789614 11676240 13184421 17579228 21974035 23352480 26368842 35158456 39553263 43948070 52737684 65922105 70316912 79106526 87896140 105475368 131844210 140633824 158213052 175792280 197766315 210950736 263688420 316426104 351584560 395532630 421901472 527376840 632852208 703169120 791065260 1054753680 1265704416 1582130520 2109507360 3164261040 6328522080