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371406061986768 = 2435674433218431
BaseRepresentation
bin101010001110010101011011…
…0011001000110001111010000
31210201001001222001020222200000
41110130222312121012033100
5342140104103332034033
63353525331151530000
7141142126310022024
oct12434526631061720
91721031861228600
10371406061986768
11a8383476501256
12357a4b96829900
1312c315978a57b3
1467a0213a10384
152ce11cd793a13
hex151cab66463d0

371406061986768 has 240 divisors, whose sum is σ = 1096476423684096. Its totient is φ = 121678899788160.

The previous prime is 371406061986767. The next prime is 371406061986787. The reversal of 371406061986768 is 867689160604173.

It is a happy number.

371406061986768 is a `hidden beast` number, since 3 + 7 + 1 + 4 + 0 + 606 + 1 + 9 + 8 + 6 + 7 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 371406061986696 and 371406061986705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (371406061986767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113790513 + ... + 117008943.

Almost surely, 2371406061986768 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 371406061986768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548238211842048).

371406061986768 is an abundant number, since it is smaller than the sum of its proper divisors (725070361697328).

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

371406061986768 is a wasteful number, since it uses less digits than its factorization.

371406061986768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3218964 (or 3218946 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 371406061986768 in words is "three hundred seventy-one trillion, four hundred six billion, sixty-one million, nine hundred eighty-six thousand, seven hundred sixty-eight".