Search a number
-
+
154639704960 = 2734513219929
BaseRepresentation
bin1001000000000100111…
…1101010001110000000
3112210011002212221120000
42100001033222032000
510013200231024320
6155012425320000
714113054542606
oct2200117521600
9483132787500
10154639704960
115a64509a164
1225b78636000
131177588bc00
1476ada65876
1540510b6c90
hex24013ea380

154639704960 has 960 divisors, whose sum is σ = 630145494000. Its totient is φ = 36022910976.

The previous prime is 154639704943. The next prime is 154639704997. The reversal of 154639704960 is 69407936451.

154639704960 is a `hidden beast` number, since 1 + 5 + 4 + 63 + 97 + 0 + 496 + 0 = 666.

154639704960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

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 = 154639704897 and 154639704906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 166457776 + ... + 166458704.

Almost surely, 2154639704960 is an apocalyptic number.

154639704960 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 154639704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315072747000).

154639704960 is an abundant number, since it is smaller than the sum of its proper divisors (475505789040).

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

154639704960 is a wasteful number, since it uses less digits than its factorization.

154639704960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 154639704960 in words is "one hundred fifty-four billion, six hundred thirty-nine million, seven hundred four thousand, nine hundred sixty".