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108429276672 = 2933103271281
BaseRepresentation
bin110010011111011100…
…0110111011000000000
3101100212121210222001000
41210332320313120000
53234030343323142
6121451155412000
710555656434103
oct1447670673000
9340777728030
10108429276672
1141a91555462
12190208b4000
13a2bcc74b12
14536875073a
152c4927d14c
hex193ee37600

108429276672 has 320 divisors, whose sum is σ = 326427678720. Its totient is φ = 35533209600.

The previous prime is 108429276629. The next prime is 108429276701. The reversal of 108429276672 is 276672924801.

It is a super-2 number, since 2×1084292766722 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385869172 + ... + 385869452.

It is an arithmetic number, because the mean of its divisors is an integer number (1020086496).

Almost surely, 2108429276672 is an apocalyptic number.

108429276672 is a gapful number since it is divisible by the number (12) 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 108429276672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163213839360).

108429276672 is an abundant number, since it is smaller than the sum of its proper divisors (217998402048).

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

108429276672 is a wasteful number, since it uses less digits than its factorization.

108429276672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 108429276672 in words is "one hundred eight billion, four hundred twenty-nine million, two hundred seventy-six thousand, six hundred seventy-two".