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6627385380 = 22357112130409
BaseRepresentation
bin1100010110000010…
…11110000000100100
3122002212121001121210
412023001132000210
5102033102313010
63013343511420
7323142563160
oct61301360044
918085531553
106627385380
1128a0a93800
12134b5b8570
13818062515
1446c283ca0
1528bc64b20
hex18b05e024

6627385380 has 144 divisors (see below), whose sum is σ = 23311048320. Its totient is φ = 1377108480.

The previous prime is 6627385361. The next prime is 6627385381. The reversal of 6627385380 is 835837266.

It is not an unprimeable number, because it can be changed into a prime (6627385381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14385 + ... + 116024.

It is an arithmetic number, because the mean of its divisors is an integer number (161882280).

Almost surely, 26627385380 is an apocalyptic number.

6627385380 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 6627385380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11655524160).

6627385380 is an abundant number, since it is smaller than the sum of its proper divisors (16683662940).

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

6627385380 is a wasteful number, since it uses less digits than its factorization.

6627385380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130450 (or 130437 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 6627385380 is about 81408.7549345892. The cubic root of 6627385380 is about 1878.3682631165.

The spelling of 6627385380 in words is "six billion, six hundred twenty-seven million, three hundred eighty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 121 132 140 154 165 210 220 231 242 308 330 363 385 420 462 484 605 660 726 770 847 924 1155 1210 1452 1540 1694 1815 2310 2420 2541 3388 3630 4235 4620 5082 7260 8470 10164 12705 16940 25410 50820 130409 260818 391227 521636 652045 782454 912863 1304090 1434499 1564908 1825726 1956135 2608180 2738589 2868998 3651452 3912270 4303497 4564315 5477178 5737996 7172495 7824540 8606994 9128630 10041493 10954356 13692945 14344990 15779489 17213988 18257260 20082986 21517485 27385890 28689980 30124479 31558978 40165972 43034970 47338467 50207465 54771780 60248958 63117956 78897445 86069940 94676934 100414930 110456423 120497916 150622395 157794890 189353868 200829860 220912846 236692335 301244790 315589780 331369269 441825692 473384670 552282115 602489580 662738538 946769340 1104564230 1325477076 1656846345 2209128460 3313692690 6627385380