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163349107740 = 2232572131997773
BaseRepresentation
bin1001100000100001011…
…1011001010000011100
3120121122002011110010100
42120020113121100130
510134014332421430
6203012550141100
714541641335500
oct2301027312034
9517562143110
10163349107740
11633043493a5
12277a9351790
1312533084190
147c98634300
1543b09e0960
hex26085d941c

163349107740 has 864 divisors, whose sum is σ = 660986464320. Its totient is φ = 32272515072.

The previous prime is 163349107729. The next prime is 163349107751. The reversal of 163349107740 is 47701943361.

163349107740 is a `hidden beast` number, since 1 + 633 + 4 + 9 + 1 + 0 + 7 + 7 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (163349107729) and next prime (163349107751).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 211317994 + ... + 211318766.

It is an arithmetic number, because the mean of its divisors is an integer number (765030630).

Almost surely, 2163349107740 is an apocalyptic number.

163349107740 is a gapful number since it is divisible by the number (10) 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 163349107740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330493232160).

163349107740 is an abundant number, since it is smaller than the sum of its proper divisors (497637356580).

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

163349107740 is a wasteful number, since it uses less digits than its factorization.

163349107740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 163349107740 in words is "one hundred sixty-three billion, three hundred forty-nine million, one hundred seven thousand, seven hundred forty".