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3423416669376 = 2631119379112531
BaseRepresentation
bin110001110100010011100…
…010001101010011000000
3110010021102210102200221220
4301310103202031103000
5422042124131410001
611140410152115040
7502222312364154
oct61642342152300
913107383380856
103423416669376
1110aa9545093a0
12473593395a80
131baa99657112
14bb9a104b064
155e0b6d04c36
hex31d1388d4c0

3423416669376 has 448 divisors, whose sum is σ = 10698357104640. Its totient is φ = 954809856000.

The previous prime is 3423416669371. The next prime is 3423416669411. The reversal of 3423416669376 is 6739666143243.

It is a happy number.

It is a super-2 number, since 2×34234166693762 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3423416669371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1352593231 + ... + 1352595761.

Almost surely, 23423416669376 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 3423416669376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5349178552320).

3423416669376 is an abundant number, since it is smaller than the sum of its proper divisors (7274940435264).

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

3423416669376 is a wasteful number, since it uses less digits than its factorization.

3423416669376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3524 (or 3514 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 60.

The spelling of 3423416669376 in words is "three trillion, four hundred twenty-three billion, four hundred sixteen million, six hundred sixty-nine thousand, three hundred seventy-six".