Search a number
-
+
52154315040 = 25355314913759
BaseRepresentation
bin110000100100101000…
…111011000100100000
311222121201112201021210
4300210220323010200
51323303001040130
635543115550120
73524301235422
oct604450730440
9158551481253
1052154315040
1120133829903
12a13645b340
134bc2197059
14274a8b8812
151553a8a5b0
hexc24a3b120

52154315040 has 192 divisors, whose sum is σ = 168521472000. Its totient is φ = 13552840704.

The previous prime is 52154315039. The next prime is 52154315077. The reversal of 52154315040 is 4051345125.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 52154314989 and 52154315007.

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 31 ways as a sum of consecutive naturals, for example, 3783681 + ... + 3797439.

It is an arithmetic number, because the mean of its divisors is an integer number (877716000).

Almost surely, 252154315040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52154315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84260736000).

52154315040 is an abundant number, since it is smaller than the sum of its proper divisors (116367156960).

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

52154315040 is a wasteful number, since it uses less digits than its factorization.

52154315040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13979 (or 13971 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 52154315040 in words is "fifty-two billion, one hundred fifty-four million, three hundred fifteen thousand, forty".