Search a number
-
+
54915374080000 = 21354722331307
BaseRepresentation
bin11000111110001111110110…
…10111010110000000000000
321012102212011211200020021201
430133013323113112000000
524144213141231030000
6312443435150430544
714365335106632400
oct1437077327260000
9235385154606251
1054915374080000
1116552530033395
1261aab73802454
13248466118b265
14d7bcbdacc800
1565371cbee96a
hex31f1fb5d6000

54915374080000 has 1680 divisors, whose sum is σ = 172516745769984. Its totient is φ = 17371791360000.

The previous prime is 54915374079989. The next prime is 54915374080009. The reversal of 54915374080000 is 8047351945.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54915374080009) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 178877439847 + ... + 178877440153.

Almost surely, 254915374080000 is an apocalyptic number.

54915374080000 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 54915374080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86258372884992).

54915374080000 is an abundant number, since it is smaller than the sum of its proper divisors (117601371689984).

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

54915374080000 is an equidigital number, since it uses as much as digits as its factorization.

54915374080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 54915374080000 in words is "fifty-four trillion, nine hundred fifteen billion, three hundred seventy-four million, eighty thousand".