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109005423770880 = 2834572132126961
BaseRepresentation
bin11000110010001111001101…
…100011111111110100000000
3112021221211001101220110120000
4120302033031203333310000
5103241421101441132010
61023500222251320000
731650245006202600
oct3062171543776400
9467854041813500
10109005423770880
1131806a38a5367a
1210285b93a50000
1348a92238a9700
141ccbc67d8ac00
15c9073420e7c0
hex6323cd8ffd00

109005423770880 has 1620 divisors, whose sum is σ = 491311829993292. Its totient is φ = 22998765404160.

The previous prime is 109005423770863. The next prime is 109005423770923. The reversal of 109005423770880 is 88077324500901.

It is a happy number.

109005423770880 is a `hidden beast` number, since 1 + 0 + 90 + 0 + 542 + 3 + 7 + 7 + 0 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1336742942976 + 107668680827904 = 1156176^2 + 10376352^2 .

It is a tau number, because it is divible by the number of its divisors (1620).

It is a super-2 number, since 2×1090054237708802 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 858510600 + ... + 858637560.

Almost surely, 2109005423770880 is an apocalyptic number.

109005423770880 is a gapful number since it is divisible by the number (10) 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 109005423770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245655914996646).

109005423770880 is an abundant number, since it is smaller than the sum of its proper divisors (382306406222412).

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

109005423770880 is a wasteful number, since it uses less digits than its factorization.

109005423770880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127034 (or 126991 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 109005423770880 in words is "one hundred nine trillion, five billion, four hundred twenty-three million, seven hundred seventy thousand, eight hundred eighty".