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496801891008 = 26321190372461
BaseRepresentation
bin1110011101010111011…
…00110100001011000000
31202111022222101221110100
413032223230310023000
531114422241003013
61020121100402400
750615133253413
oct7165354641300
91674288357410
10496801891008
11181768796915
1280349b46400
1337b046c1ba7
141a08c5abb7a
15cdc9eaa473
hex73abb342c0

496801891008 has 84 divisors (see below), whose sum is σ = 1424132206848. Its totient is φ = 165584432640.

The previous prime is 496801890979. The next prime is 496801891021. The reversal of 496801891008 is 800198108694.

It is a super-2 number, since 2×4968018910082 (a number of 24 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 6819898 + ... + 6892358.

Almost surely, 2496801891008 is an apocalyptic number.

496801891008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

496801891008 is an abundant number, since it is smaller than the sum of its proper divisors (927330315840).

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

496801891008 is a wasteful number, since it uses less digits than its factorization.

496801891008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84382 (or 84369 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 496801891008 in words is "four hundred ninety-six billion, eight hundred one million, eight hundred ninety-one thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 11903 23806 35709 47612 71418 72461 95224 107127 142836 144922 190448 214254 217383 285672 289844 380896 428508 434766 571344 579688 652149 761792 857016 869532 1142688 1159376 1304298 1714032 1739064 2285376 2318752 2608596 3428064 3478128 4637504 5217192 6856128 6956256 10434384 13912512 20868768 41737536 862503283 1725006566 2587509849 3450013132 5175019698 6900026264 7762529547 10350039396 13800052528 15525059094 20700078792 27600105056 31050118188 41400157584 55200210112 62100236376 82800315168 124200472752 165600630336 248400945504 496801891008