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109494927360 = 21933571317
BaseRepresentation
bin110010111111001101…
…0000000000000000000
3101110121220000121222000
41211332122000000000
53243221200133420
6122145024144000
710624246345320
oct1457632000000
9343556017860
10109494927360
1142489039605
1219279768000
13a42c989c60
14542a0ab280
152cacacb690
hex197e680000

109494927360 has 1280 divisors, whose sum is σ = 507342528000. Its totient is φ = 21743271936.

The previous prime is 109494927329. The next prime is 109494927383. The reversal of 109494927360 is 63729494901.

109494927360 is a `hidden beast` number, since 1 + 0 + 9 + 494 + 92 + 7 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a junction number, because it is equal to n+sod(n) for n = 109494927297 and 109494927306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6440878072 + ... + 6440878088.

It is an arithmetic number, because the mean of its divisors is an integer number (396361350).

Almost surely, 2109494927360 is an apocalyptic number.

109494927360 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 109494927360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253671264000).

109494927360 is an abundant number, since it is smaller than the sum of its proper divisors (397847600640).

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

109494927360 is an frugal number, since it uses more digits than its factorization.

109494927360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 109494927360 in words is "one hundred nine billion, four hundred ninety-four million, nine hundred twenty-seven thousand, three hundred sixty".