Search a number
-
+
54152515980 = 22355192812087
BaseRepresentation
bin110010011011101111…
…011101000110001100
312011202222111211200000
4302123233131012030
51341401021002410
640513300204300
73624643535223
oct623357350614
9164688454600
1054152515980
1120a69757842
12a5b3699690
135150161584
14289a025cba
15161e1e4dc0
hexc9bbdd18c

54152515980 has 288 divisors, whose sum is σ = 180036380160. Its totient is φ = 13625418240.

The previous prime is 54152515979. The next prime is 54152515987. The reversal of 54152515980 is 8951525145.

54152515980 is a `hidden beast` number, since 5 + 4 + 1 + 5 + 2 + 51 + 598 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (54152515987) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25946497 + ... + 25948583.

It is an arithmetic number, because the mean of its divisors is an integer number (625126320).

Almost surely, 254152515980 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 54152515980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90018190080).

54152515980 is an abundant number, since it is smaller than the sum of its proper divisors (125883864180).

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

54152515980 is a wasteful number, since it uses less digits than its factorization.

54152515980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 45.

The spelling of 54152515980 in words is "fifty-four billion, one hundred fifty-two million, five hundred fifteen thousand, nine hundred eighty".