Search a number
-
+
54490131696 = 243721113162011
BaseRepresentation
bin110010101111110111…
…010110110011110000
312012122111210111100210
4302233313112303300
51343043433203241
641011000344120
73636213322500
oct625767266360
9165574714323
1054490131696
11211222934a0
12a688775040
1351a509c8a0
1428ccbcba00
15163db84316
hexcafdd6cf0

54490131696 has 240 divisors, whose sum is σ = 192376937088. Its totient is φ = 13064486400.

The previous prime is 54490131679. The next prime is 54490131701. The reversal of 54490131696 is 69613109445.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255331 + ... + 417341.

Almost surely, 254490131696 is an apocalyptic number.

54490131696 is a gapful number since it is divisible by the number (56) 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 54490131696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96188468544).

54490131696 is an abundant number, since it is smaller than the sum of its proper divisors (137886805392).

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

54490131696 is a wasteful number, since it uses less digits than its factorization.

54490131696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162060 (or 162047 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 54490131696 in words is "fifty-four billion, four hundred ninety million, one hundred thirty-one thousand, six hundred ninety-six".