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6448394420 = 22513219100411
BaseRepresentation
bin1100000000101101…
…01011000010110100
3121122101210101011222
412000112223002310
5101201242110140
62543511245512
7315540306506
oct60026530264
917571711158
106448394420
112809a50196
1212bb679898
137b9c52a00
144525add76
1527b1aa5b5
hex1805ab0b4

6448394420 has 72 divisors (see below), whose sum is σ = 15435332640. Its totient is φ = 2255610240.

The previous prime is 6448394411. The next prime is 6448394443. The reversal of 6448394420 is 244938446.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14015 + ... + 114425.

It is an arithmetic number, because the mean of its divisors is an integer number (214379620).

Almost surely, 26448394420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6448394420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7717666320).

6448394420 is an abundant number, since it is smaller than the sum of its proper divisors (8986938220).

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

6448394420 is a wasteful number, since it uses less digits than its factorization.

6448394420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100465 (or 100450 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 44.

The square root of 6448394420 is about 80301.8954944402. The cubic root of 6448394420 is about 1861.3035164469.

The spelling of 6448394420 in words is "six billion, four hundred forty-eight million, three hundred ninety-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 169 190 247 260 338 380 494 676 845 988 1235 1690 2470 3211 3380 4940 6422 12844 16055 32110 64220 100411 200822 401644 502055 1004110 1305343 1907809 2008220 2610686 3815618 5221372 6526715 7631236 9539045 13053430 16969459 19078090 24801517 26106860 33938918 38156180 49603034 67877836 84847295 99206068 124007585 169694590 248015170 322419721 339389180 496030340 644839442 1289678884 1612098605 3224197210 6448394420