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378413088358620 = 2235717292312032873
BaseRepresentation
bin101011000001010100010100…
…1101101011100000011011100
31211121211221022202120122012210
41112002220221231130003130
5344044410001104433440
63420452323425000420
7142464305044326330
oct12602505155340334
91747757282518183
10378413088358620
11aa6350a9195787
1236536ba9783110
131331c27cb0b7b3
1469634110a97c0
152db35d5c6aa80
hex1582a29b5c0dc

378413088358620 has 576 divisors, whose sum is σ = 1370725109784576. Its totient is φ = 76063890309120.

The previous prime is 378413088358609. The next prime is 378413088358661. The reversal of 378413088358620 is 26853880314873.

It is a super-2 number, since 2×3784130883586202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 185130504 + ... + 187163376.

It is an arithmetic number, because the mean of its divisors is an integer number (2379731093376).

Almost surely, 2378413088358620 is an apocalyptic number.

378413088358620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378413088358620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685362554892288).

378413088358620 is an abundant number, since it is smaller than the sum of its proper divisors (992312021425956).

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

378413088358620 is a wasteful number, since it uses less digits than its factorization.

378413088358620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032998 (or 2032967 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 66.

The spelling of 378413088358620 in words is "three hundred seventy-eight trillion, four hundred thirteen billion, eighty-eight million, three hundred fifty-eight thousand, six hundred twenty".