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349522230281616 = 243473710310109573
BaseRepresentation
bin100111101111000110111110…
…0011000001000010110010000
31200211112222222012002110020000
41033132031330120020112100
5331303033011423002431
63235212143530250000
7133423101461465310
oct11736157430102620
91624488865073200
10349522230281616
11a14065aaa71787
123324b8bb886900
1312004a60459502
146244d753c3440
152a61d1e3059e6
hex13de37c608590

349522230281616 has 400 divisors, whose sum is σ = 1198910717731584. Its totient is φ = 96221127011328.

The previous prime is 349522230281593. The next prime is 349522230281639. The reversal of 349522230281616 is 616182032225943.

349522230281616 is a `hidden beast` number, since 3 + 4 + 9 + 522 + 2 + 30 + 2 + 81 + 6 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (349522230281593) and next prime (349522230281639).

It is a super-2 number, since 2×3495222302816162 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 29518606 + ... + 39628178.

Almost surely, 2349522230281616 is an apocalyptic number.

349522230281616 is a gapful number since it is divisible by the number (36) 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 349522230281616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599455358865792).

349522230281616 is an abundant number, since it is smaller than the sum of its proper divisors (849388487449968).

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

349522230281616 is a wasteful number, since it uses less digits than its factorization.

349522230281616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10109740 (or 10109725 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 349522230281616 in words is "three hundred forty-nine trillion, five hundred twenty-two billion, two hundred thirty million, two hundred eighty-one thousand, six hundred sixteen".