Search a number
-
+
112154672448 = 26327137329311
BaseRepresentation
bin110100001110011110…
…0000111110101000000
3101201111020210200022100
41220130330013311000
53314143044004243
6123304555510400
711050203662220
oct1503474076500
9351436720270
10112154672448
1143623430445
12198a0458400
13a764a1ab10
1455dd422080
152db635e0d3
hex1a1cf07d40

112154672448 has 336 divisors, whose sum is σ = 401090400256. Its totient is φ = 29173063680.

The previous prime is 112154672437. The next prime is 112154672501. The reversal of 112154672448 is 844276451211.

112154672448 is a `hidden beast` number, since 1 + 121 + 5 + 467 + 24 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3811713 + ... + 3841023.

Almost surely, 2112154672448 is an apocalyptic number.

112154672448 is a gapful number since it is divisible by the number (18) 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 112154672448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200545200128).

112154672448 is an abundant number, since it is smaller than the sum of its proper divisors (288935727808).

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

112154672448 is a wasteful number, since it uses less digits than its factorization.

112154672448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29422 (or 29409 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The spelling of 112154672448 in words is "one hundred twelve billion, one hundred fifty-four million, six hundred seventy-two thousand, four hundred forty-eight".