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801813026040 = 23351317151200227
BaseRepresentation
bin10111010101011111100…
…01111101010011111000
32211122121201200000011020
423222233301331103320
5101114103113313130
61412203043502440
7111633450161145
oct13525761752370
92748551600136
10801813026040
1128a057606024
1210b491687a20
135a7c277a750
142ab4506d3cc
1515ccc56ee10
hexbaafc7d4f8

801813026040 has 256 divisors, whose sum is σ = 2761031992320. Its totient is φ = 184528281600.

The previous prime is 801813026011. The next prime is 801813026041. The reversal of 801813026040 is 40620318108.

It is a junction number, because it is equal to n+sod(n) for n = 801813025992 and 801813026010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801813026041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3904407 + ... + 4104633.

It is an arithmetic number, because the mean of its divisors is an integer number (10785281220).

Almost surely, 2801813026040 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 801813026040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380515996160).

801813026040 is an abundant number, since it is smaller than the sum of its proper divisors (1959218966280).

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

801813026040 is a wasteful number, since it uses less digits than its factorization.

801813026040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200422 (or 200418 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 801813026040 in words is "eight hundred one billion, eight hundred thirteen million, twenty-six thousand, forty".