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109848004992 = 2732113312311
BaseRepresentation
bin110011001001101110…
…0111000100110000000
3101111112111101211102100
41212103130320212000
53244432042124432
6122244035550400
710636064431215
oct1462334704600
9344474354370
10109848004992
114264a376000
1219357a5b400
13a487b7cc2b
145460d39b0c
152ccdac207c
hex1993738980

109848004992 has 384 divisors, whose sum is σ = 359056189440. Its totient is φ = 32199552000.

The previous prime is 109848004979. The next prime is 109848005011. The reversal of 109848004992 is 299400848901.

109848004992 is a `hidden beast` number, since 109 + 8 + 48 + 0 + 0 + 499 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×1098480049923 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47531517 + ... + 47533827.

It is an arithmetic number, because the mean of its divisors is an integer number (935042160).

Almost surely, 2109848004992 is an apocalyptic number.

109848004992 is a gapful number since it is divisible by the number (12) 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 109848004992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179528094720).

109848004992 is an abundant number, since it is smaller than the sum of its proper divisors (249208184448).

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

109848004992 is a wasteful number, since it uses less digits than its factorization.

109848004992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2395 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 109848004992 in words is "one hundred nine billion, eight hundred forty-eight million, four thousand, nine hundred ninety-two".