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804127007136 = 253101772710733
BaseRepresentation
bin10111011001110011011…
…01000110000110100000
32211212120222211102110210
423230321231012012200
5101133323003212021
61413224424254120
7112045005532545
oct13547155060640
92755528742423
10804127007136
112900348062a2
1210ba18611340
135aaa0ca952b
142acc44dabcc
1515db57a3e76
hexbb39b461a0

804127007136 has 96 divisors (see below), whose sum is σ = 2132207255808. Its totient is φ = 265329382400.

The previous prime is 804127007129. The next prime is 804127007149. The reversal of 804127007136 is 631700721408.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 804127007094 and 804127007103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74915626 + ... + 74926358.

It is an arithmetic number, because the mean of its divisors is an integer number (22210492248).

Almost surely, 2804127007136 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 804127007136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066103627904).

804127007136 is an abundant number, since it is smaller than the sum of its proper divisors (1328080248672).

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

804127007136 is a wasteful number, since it uses less digits than its factorization.

804127007136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18574 (or 18566 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 804127007136 in words is "eight hundred four billion, one hundred twenty-seven million, seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1616 2424 3232 4848 7727 9696 10733 15454 21466 23181 30908 32199 42932 46362 61816 64398 85864 92724 123632 128796 171728 185448 247264 257592 343456 370896 515184 741792 780427 1030368 1084033 1560854 2168066 2341281 3121708 3252099 4336132 4682562 6243416 6504198 8672264 9365124 12486832 13008396 17344528 18730248 24973664 26016792 34689056 37460496 52033584 74920992 82933891 104067168 165867782 248801673 331735564 497603346 663471128 995206692 1326942256 1990413384 2653884512 3980826768 7961653536 8376322991 16752645982 25128968973 33505291964 50257937946 67010583928 100515875892 134021167856 201031751784 268042335712 402063503568 804127007136