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110488272048 = 243371131109983
BaseRepresentation
bin110011011100110011…
…1010011110010110000
3101120012010011202201000
41212321213103302300
53302234444201143
6122431351042000
710661000550060
oct1467147236260
9346163152630
10110488272048
1142948827130
12194b6370300
13a55a706a8b
1454c1da53a0
152d19de5bd3
hex19b99d3cb0

110488272048 has 640 divisors, whose sum is σ = 412316467200. Its totient is φ = 27489715200.

The previous prime is 110488272019. The next prime is 110488272049. The reversal of 110488272048 is 840272884011.

It is a super-2 number, since 2×1104882720482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110488271994 and 110488272012.

It is not an unprimeable number, because it can be changed into a prime (110488272049) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 112398565 + ... + 112399547.

It is an arithmetic number, because the mean of its divisors is an integer number (644244480).

Almost surely, 2110488272048 is an apocalyptic number.

110488272048 is a gapful number since it is divisible by the number (18) 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 110488272048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206158233600).

110488272048 is an abundant number, since it is smaller than the sum of its proper divisors (301828195152).

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

110488272048 is a wasteful number, since it uses less digits than its factorization.

110488272048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 110488272048 in words is "one hundred ten billion, four hundred eighty-eight million, two hundred seventy-two thousand, forty-eight".