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804422806240 = 255101397125387
BaseRepresentation
bin10111011010010110101…
…01011110101011100000
32211220100121102120120011
423231023111132223200
5101134424214244430
61413314032254304
7112055230014604
oct13551325365340
92756317376504
10804422806240
11290176780569
1210ba9b6a1394
135ab1a3661a1
142ad118d9504
1515dd173322a
hexbb4b55eae0

804422806240 has 96 divisors (see below), whose sum is σ = 1924114971744. Its totient is φ = 317778278400.

The previous prime is 804422806181. The next prime is 804422806301. The reversal of 804422806240 is 42608224408.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 804422806193 and 804422806202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6352827 + ... + 6478213.

It is an arithmetic number, because the mean of its divisors is an integer number (20042864289).

Almost surely, 2804422806240 is an apocalyptic number.

804422806240 is a gapful number since it is divisible by the number (80) 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 804422806240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962057485872).

804422806240 is an abundant number, since it is smaller than the sum of its proper divisors (1119692165504).

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

804422806240 is a wasteful number, since it uses less digits than its factorization.

804422806240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125900 (or 125892 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 40.

The spelling of 804422806240 in words is "eight hundred four billion, four hundred twenty-two million, eight hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 160 202 397 404 505 794 808 1010 1588 1616 1985 2020 3176 3232 3970 4040 6352 7940 8080 12704 15880 16160 31760 40097 63520 80194 125387 160388 200485 250774 320776 400970 501548 626935 641552 801940 1003096 1253870 1283104 1603880 2006192 2507740 3207760 4012384 5015480 6415520 10030960 12664087 20061920 25328174 49778639 50656348 63320435 99557278 101312696 126640870 199114556 202625392 248893195 253281740 398229112 405250784 497786390 506563480 796458224 995572780 1013126960 1592916448 1991145560 2026253920 3982291120 5027642539 7964582240 10055285078 20110570156 25138212695 40221140312 50276425390 80442280624 100552850780 160884561248 201105701560 402211403120 804422806240