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601607606706106 = 2711213172516402269
BaseRepresentation
bin1000100011001010001010111…
…1101100010001111110111010
32220220010010101111112100210021
42020302202233230101332322
51112323214334304043411
65531302415155241054
7240501500216633020
oct21062425754217672
92826103344470707
10601607606706106
11164766398120300
12575837022a918a
131ca8c47a6419a0
14a87bd6bcc6710
1549842db4b0a71
hex22328afb11fba

601607606706106 has 192 divisors, whose sum is σ = 1297770655023360. Its totient is φ = 202823850240000.

The previous prime is 601607606706103. The next prime is 601607606706143.

601607606706106 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (601607606706101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90766740 + ... + 97169008.

It is an arithmetic number, because the mean of its divisors is an integer number (6759222161580).

Almost surely, 2601607606706106 is an apocalyptic number.

601607606706106 is an abundant number, since it is smaller than the sum of its proper divisors (696163048317254).

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

601607606706106 is a wasteful number, since it uses less digits than its factorization.

601607606706106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6402581 (or 6402570 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 52.

It can be divided in two parts, 60160760 and 6706106, that added together give a palindrome (66866866).

The spelling of 601607606706106 in words is "six hundred one trillion, six hundred seven billion, six hundred six million, seven hundred six thousand, one hundred six".