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6440254020 = 22325229156241
BaseRepresentation
bin1011111111101111…
…00111101001000100
3121121211110210122200
411333313213221010
5101142201112040
62543020554500
7315411153534
oct57767475104
917554423580
106440254020
1128053a0192
1212b89b2a30
137b83626c5
144514914c4
1527a5ed630
hex17fde7a44

6440254020 has 72 divisors (see below), whose sum is σ = 19620870360. Its totient is φ = 1709890560.

The previous prime is 6440253979. The next prime is 6440254033. The reversal of 6440254020 is 204520446.

6440254020 is a `hidden beast` number, since 64 + 40 + 2 + 540 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 232074756 + 6208179264 = 15234^2 + 78792^2 .

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, 36901 + ... + 119340.

Almost surely, 26440254020 is an apocalyptic number.

6440254020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6440254020 is an abundant number, since it is smaller than the sum of its proper divisors (13180616340).

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

6440254020 is a wasteful number, since it uses less digits than its factorization.

6440254020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156485 (or 156480 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 6440254020 is about 80251.1932621565. The cubic root of 6440254020 is about 1860.5199552248.

Adding to 6440254020 its reverse (204520446), we get a palindrome (6644774466).

The spelling of 6440254020 in words is "six billion, four hundred forty million, two hundred fifty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 229 458 687 916 1145 1374 2061 2290 2748 3435 4122 4580 6870 8244 10305 13740 20610 41220 156241 312482 468723 624964 781205 937446 1406169 1562410 1874892 2343615 2812338 3124820 4687230 5624676 7030845 9374460 14061690 28123380 35779189 71558378 107337567 143116756 178895945 214675134 322012701 357791890 429350268 536687835 644025402 715583780 1073375670 1288050804 1610063505 2146751340 3220127010 6440254020