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109947949056 = 212321121572
BaseRepresentation
bin110011001100101101…
…0001001000000000000
3101111210110110111220100
41212121122021000000
53300133133332211
6122302010042400
710641420101301
oct1463132110000
9344713414810
10109947949056
11426a0829500
1219385419400
13a4a27a412a
1454703147a8
152cd7765156
hex1999689000

109947949056 has 351 divisors, whose sum is σ = 351322662873. Its totient is φ = 33105346560.

The previous prime is 109947949043. The next prime is 109947949057. The reversal of 109947949056 is 650949749901.

The square root of 109947949056 is 331584.

It is a perfect power (a square), and thus also a powerful number.

109947949056 is a `hidden beast` number, since 1 + 0 + 9 + 94 + 7 + 9 + 490 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32227430400 + 77720518656 = 179520^2 + 278784^2 .

It is a super-3 number, since 3×1099479490563 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 109947948984 and 109947949002.

It is not an unprimeable number, because it can be changed into a prime (109947949057) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 700305330 + ... + 700305486.

Almost surely, 2109947949056 is an apocalyptic number.

109947949056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

109947949056 is the 331584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109947949056

109947949056 is an abundant number, since it is smaller than the sum of its proper divisors (241374713817).

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

109947949056 is an equidigital number, since it uses as much as digits as its factorization.

109947949056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 109947949056 in words is "one hundred nine billion, nine hundred forty-seven million, nine hundred forty-nine thousand, fifty-six".