Search a number
-
+
54051356520 = 2332571729139313
BaseRepresentation
bin110010010101101101…
…100011111101101000
312011111221011101222100
4302111231203331220
51341144121402040
640455244053400
73622304643540
oct622555437550
9164457141870
1054051356520
1120a17644187
12a585834260
1351352030c5
14288a812320
1516153b1b30
hexc95b63f68

54051356520 has 768 divisors, whose sum is σ = 222191424000. Its totient is φ = 11110514688.

The previous prime is 54051356507. The next prime is 54051356521. The reversal of 54051356520 is 2565315045.

54051356520 is a `hidden beast` number, since 5 + 40 + 51 + 3 + 565 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54051356521) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 172687884 + ... + 172688196.

It is an arithmetic number, because the mean of its divisors is an integer number (289311750).

Almost surely, 254051356520 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 54051356520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111095712000).

54051356520 is an abundant number, since it is smaller than the sum of its proper divisors (168140067480).

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

54051356520 is a wasteful number, since it uses less digits than its factorization.

54051356520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 54051356520 in words is "fifty-four billion, fifty-one million, three hundred fifty-six thousand, five hundred twenty".