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797018285675040 = 2535111317231241809
BaseRepresentation
bin1011010100111000100100011…
…1110011000001001000100000
310212112000012111200222111100020
42311032021013303001020200
51313431321422113100130
611503041051251553440
7326610446055160542
oct26516110763011040
93775005450874306
10797018285675040
11210a55614048950
12754835972bb880
132829566a71c970
14100b5c6870b692
15622241c000e10
hex2d4e247cc1220

797018285675040 has 1728 divisors, whose sum is σ = 3237642291864960. Its totient is φ = 162443545804800.

The previous prime is 797018285674991. The next prime is 797018285675047. The reversal of 797018285675040 is 40576582810797.

It is a super-3 number, since 3×7970182856750403 (a number of 46 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (797018285675047) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19063297656 + ... + 19063339464.

It is an arithmetic number, because the mean of its divisors is an integer number (1873635585570).

Almost surely, 2797018285675040 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 797018285675040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618821145932480).

797018285675040 is an abundant number, since it is smaller than the sum of its proper divisors (2440624006189920).

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

797018285675040 is a wasteful number, since it uses less digits than its factorization.

797018285675040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41947 (or 41891 counting only the distinct ones).

The product of its (nonzero) digits is 237081600, while the sum is 69.

The spelling of 797018285675040 in words is "seven hundred ninety-seven trillion, eighteen billion, two hundred eighty-five million, six hundred seventy-five thousand, forty".