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801320417721 = 3289035601969
BaseRepresentation
bin10111010100100100110…
…10110011100110111001
32211121100101201220120200
423222102122303212321
5101112101011331341
61412042125312413
7111615316111245
oct13522232634671
92747311656520
10801320417721
1128992453810a
1210b374705709
135a7446b2c35
142aad987d425
1515c9e1b6db6
hexba926b39b9

801320417721 has 6 divisors (see below), whose sum is σ = 1157462825610. Its totient is φ = 534213611808.

The previous prime is 801320417701. The next prime is 801320417761. The reversal of 801320417721 is 127714023108.

It can be written as a sum of positive squares in only one way, i.e., 801302474025 + 17943696 = 895155^2 + 4236^2 .

It is not a de Polignac number, because 801320417721 - 219 = 801319893433 is a prime.

It is a super-2 number, since 2×8013204177212 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (801320417701) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44517800976 + ... + 44517800993.

It is an arithmetic number, because the mean of its divisors is an integer number (192910470935).

Almost surely, 2801320417721 is an apocalyptic number.

It is an amenable number.

801320417721 is a deficient number, since it is larger than the sum of its proper divisors (356142407889).

801320417721 is a wasteful number, since it uses less digits than its factorization.

801320417721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89035601975 (or 89035601972 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 801320417721 in words is "eight hundred one billion, three hundred twenty million, four hundred seventeen thousand, seven hundred twenty-one".

Divisors: 1 3 9 89035601969 267106805907 801320417721