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108935225784 = 2333711192911887
BaseRepresentation
bin110010101110100001…
…0111010000110111000
3101102011212211211202000
41211131002322012320
53241044404211114
6122013311541000
710604342066310
oct1453502720670
9342155754660
10108935225784
1142221105520
121914222a760
13a370a309a8
1453b5a14440
152c788bde09
hex195d0ba1b8

108935225784 has 512 divisors, whose sum is σ = 410849280000. Its totient is φ = 25879150080.

The previous prime is 108935225759. The next prime is 108935225851. The reversal of 108935225784 is 487522539801.

108935225784 is a `hidden beast` number, since 10 + 8 + 9 + 3 + 52 + 2 + 578 + 4 = 666.

It is a super-2 number, since 2×1089352257842 (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 self number, because there is not a number n which added to its sum of digits gives 108935225784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9158289 + ... + 9170175.

It is an arithmetic number, because the mean of its divisors is an integer number (802440000).

Almost surely, 2108935225784 is an apocalyptic number.

108935225784 is a gapful number since it is divisible by the number (14) 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 108935225784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205424640000).

108935225784 is an abundant number, since it is smaller than the sum of its proper divisors (301914054216).

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

108935225784 is a wasteful number, since it uses less digits than its factorization.

108935225784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11968 (or 11958 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

It can be divided in two parts, 1089352 and 25784, that added together give a square (1115136 = 10562).

The spelling of 108935225784 in words is "one hundred eight billion, nine hundred thirty-five million, two hundred twenty-five thousand, seven hundred eighty-four".