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995981340201764 = 227241506112242869
BaseRepresentation
bin1110001001110101101111100…
…1111111000101001100100100
311211121110212221001202121212112
43202131123321333011030210
52021021124241042424024
613450135302225140152
7416534164041431300
oct34235337177051444
94747425831677775
10995981340201764
11269394350400414
1293857a3378a658
1333998839426907
14137d3a7b278d00
157a22b610a700e
hex389d6f9fc5324

995981340201764 has 36 divisors (see below), whose sum is σ = 2027538493068060. Its totient is φ = 426848082534720.

The previous prime is 995981340201763. The next prime is 995981340201773. The reversal of 995981340201764 is 467102043189599.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 828361502812900 + 167619837388864 = 28781270^2 + 12946808^2 .

It is a junction number, because it is equal to n+sod(n) for n = 995981340201694 and 995981340201703.

It is not an unprimeable number, because it can be changed into a prime (995981340201763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75230522 + ... + 87473390.

It is an arithmetic number, because the mean of its divisors is an integer number (56320513696335).

It is a 1-persistent number, because it is pandigital, but 2⋅995981340201764 = 1991962680403528 is not.

Almost surely, 2995981340201764 is an apocalyptic number.

It is an amenable number.

995981340201764 is an abundant number, since it is smaller than the sum of its proper divisors (1031557152866296).

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

995981340201764 is a wasteful number, since it uses less digits than its factorization.

995981340201764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12657948 (or 12657939 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 68.

The spelling of 995981340201764 in words is "nine hundred ninety-five trillion, nine hundred eighty-one billion, three hundred forty million, two hundred one thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 415061 830122 1660244 2905427 5810854 11621708 12242869 20337989 24485738 40675978 48971476 81351956 85700083 171400166 342800332 599900581 1199801162 2399602324 5081537450009 10163074900018 20326149800036 35570762150063 71141524300126 142283048600252 248995335050441 497990670100882 995981340201764