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108946992924 = 223471189139353
BaseRepresentation
bin110010101110110111…
…1110010111100011100
3101102012200222200020000
41211131233302330130
53241110412233144
6122014412054300
710604544105660
oct1453557627434
9342180880200
10108946992924
1142227812330
1219146164390
13a3732c09b3
1453b73d88a0
152c79945769
hex195dbf2f1c

108946992924 has 480 divisors, whose sum is σ = 362684044800. Its totient is φ = 27699978240.

The previous prime is 108946992899. The next prime is 108946992929. The reversal of 108946992924 is 429299649801.

108946992924 is a `hidden beast` number, since 1 + 0 + 89 + 469 + 9 + 2 + 92 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108946992929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 308631532 + ... + 308631884.

It is an arithmetic number, because the mean of its divisors is an integer number (755591760).

Almost surely, 2108946992924 is an apocalyptic number.

108946992924 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 108946992924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181342022400).

108946992924 is an abundant number, since it is smaller than the sum of its proper divisors (253737051876).

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

108946992924 is a wasteful number, since it uses less digits than its factorization.

108946992924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

It can be divided in two parts, 108946 and 992924, that added together give a triangular number (1101870 = T1484).

The spelling of 108946992924 in words is "one hundred eight billion, nine hundred forty-six million, nine hundred ninety-two thousand, nine hundred twenty-four".