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804213312444 = 2232101911242789
BaseRepresentation
bin10111011001111101101…
…10010100101110111100
32211212211000020012002200
423230332312110232330
5101134012101444234
61413241150151500
7112050104236533
oct13547666245674
92755730205080
10804213312444
112900794a37a3
1210ba414b2590
135aab5b36869
142acd1b6531a
1515dbd150d99
hexbb3ed94bbc

804213312444 has 72 divisors (see below), whose sum is σ = 2055262023360. Its totient is φ = 265124496000.

The previous prime is 804213312443. The next prime is 804213312467. The reversal of 804213312444 is 444213312408.

804213312444 is a `hidden beast` number, since 80 + 4 + 2 + 1 + 331 + 244 + 4 = 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 = 804213312399 and 804213312408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804213312443) 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, 3191002 + ... + 3433790.

It is an arithmetic number, because the mean of its divisors is an integer number (28545305880).

Almost surely, 2804213312444 is an apocalyptic number.

It is an amenable number.

804213312444 is an abundant number, since it is smaller than the sum of its proper divisors (1251048710916).

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

804213312444 is a wasteful number, since it uses less digits than its factorization.

804213312444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243811 (or 243806 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Subtracting from 804213312444 its sum of digits (36), we obtain a palindrome (804213312408).

The spelling of 804213312444 in words is "eight hundred four billion, two hundred thirteen million, three hundred twelve thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 911 1212 1818 1822 2733 3636 3644 5466 8199 10932 16398 32796 92011 184022 242789 276033 368044 485578 552066 728367 828099 971156 1104132 1456734 1656198 2185101 2913468 3312396 4370202 8740404 24521689 49043378 73565067 98086756 147130134 220695201 221180779 294260268 441390402 442361558 663542337 882780804 884723116 1327084674 1990627011 2654169348 3981254022 7962508044 22339258679 44678517358 67017776037 89357034716 134035552074 201053328111 268071104148 402106656222 804213312444