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101489490432 = 293611191301
BaseRepresentation
bin101111010000100111…
…1101011101000000000
3100200221222101022000000
41132201033223220000
53130322302143212
6114342412000000
710222001302131
oct1364117535000
9320858338000
10101489490432
113a050198330
1217804760000
139755292225
144caabc9c88
15298edaa1dc
hex17a13eba00

101489490432 has 560 divisors, whose sum is σ = 349396074720. Its totient is φ = 29113344000.

The previous prime is 101489490409. The next prime is 101489490439. The reversal of 101489490432 is 234094984101.

101489490432 is a `hidden beast` number, since 1 + 0 + 1 + 48 + 94 + 90 + 432 = 666.

It is not an unprimeable number, because it can be changed into a prime (101489490439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 78008182 + ... + 78009482.

It is an arithmetic number, because the mean of its divisors is an integer number (623921562).

Almost surely, 2101489490432 is an apocalyptic number.

101489490432 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 101489490432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174698037360).

101489490432 is an abundant number, since it is smaller than the sum of its proper divisors (247906584288).

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

101489490432 is an equidigital number, since it uses as much as digits as its factorization.

101489490432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 101489490432 in words is "one hundred one billion, four hundred eighty-nine million, four hundred ninety thousand, four hundred thirty-two".