Search a number
-
+
54572427000 = 233353721319167
BaseRepresentation
bin110010110100110001…
…010010011011111000
312012212020122112022000
4302310301102123320
51343231020131000
641023100301000
73641232655500
oct626461223370
9165766575260
1054572427000
1121164792143
12a6b0241760
1351b9154930
1428d9ad0a00
151645edd000
hexcb4c526f8

54572427000 has 1536 divisors, whose sum is σ = 250967808000. Its totient is φ = 10842854400.

The previous prime is 54572426999. The next prime is 54572427017. The reversal of 54572427000 is 72427545.

It is a happy number.

54572427000 is a `hidden beast` number, since 545 + 7 + 2 + 42 + 70 + 0 + 0 = 666.

54572427000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 326780917 + ... + 326781083.

It is an arithmetic number, because the mean of its divisors is an integer number (163390500).

Almost surely, 254572427000 is an apocalyptic number.

54572427000 is a gapful number since it is divisible by the number (50) 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 54572427000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125483904000).

54572427000 is an abundant number, since it is smaller than the sum of its proper divisors (196395381000).

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

54572427000 is a wasteful number, since it uses less digits than its factorization.

54572427000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The spelling of 54572427000 in words is "fifty-four billion, five hundred seventy-two million, four hundred twenty-seven thousand".