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6268522140 = 2232540985147
BaseRepresentation
bin1011101011010001…
…00000111010011100
3121011212022220210200
411311220200322130
5100314220202030
62514004103500
7311224362516
oct56550407234
917155286720
106268522140
112727465511
12126b394b90
1378b8c4cca
1443674abb6
1526a4c9d60
hex175a20e9c

6268522140 has 72 divisors (see below), whose sum is σ = 19061231280. Its totient is φ = 1667499264.

The previous prime is 6268522067. The next prime is 6268522147. The reversal of 6268522140 is 412258626.

It is a happy number.

6268522140 is a `hidden beast` number, since 62 + 68 + 522 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6268522095 and 6268522104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6268522147) 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, 31047 + ... + 116193.

Almost surely, 26268522140 is an apocalyptic number.

6268522140 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 6268522140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9530615640).

6268522140 is an abundant number, since it is smaller than the sum of its proper divisors (12792709140).

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

6268522140 is a wasteful number, since it uses less digits than its factorization.

6268522140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85571 (or 85566 counting only the distinct ones).

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

The square root of 6268522140 is about 79173.9991411322. Note that the first 3 decimals coincide. The cubic root of 6268522140 is about 1843.8335853479.

The spelling of 6268522140 in words is "six billion, two hundred sixty-eight million, five hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 409 818 1227 1636 2045 2454 3681 4090 4908 6135 7362 8180 12270 14724 18405 24540 36810 73620 85147 170294 255441 340588 425735 510882 766323 851470 1021764 1277205 1532646 1702940 2554410 3065292 3831615 5108820 7663230 15326460 34825123 69650246 104475369 139300492 174125615 208950738 313426107 348251230 417901476 522376845 626852214 696502460 1044753690 1253704428 1567130535 2089507380 3134261070 6268522140