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108481462272 = 21434431901
BaseRepresentation
bin110010100000111111…
…1111100000000000000
3101101000021000021020000
41211001333330000000
53234132223243042
6121500302120000
710560162133521
oct1450177740000
9341007007200
10108481462272
1142008a59257
1219036280000
13a2caa16c81
145371656848
152c4db3a74c
hex1941ffc000

108481462272 has 300 divisors, whose sum is σ = 331806768216. Its totient is φ = 35300966400.

The previous prime is 108481462259. The next prime is 108481462277. The reversal of 108481462272 is 272264184801.

108481462272 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 8 + 14 + 622 + 7 + 2 = 666.

It is a super-3 number, since 3×1084814622723 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108481462277) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57064522 + ... + 57066422.

Almost surely, 2108481462272 is an apocalyptic number.

108481462272 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 108481462272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165903384108).

108481462272 is an abundant number, since it is smaller than the sum of its proper divisors (223325305944).

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

108481462272 is an frugal number, since it uses more digits than its factorization.

108481462272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 108481462272 in words is "one hundred eight billion, four hundred eighty-one million, four hundred sixty-two thousand, two hundred seventy-two".