Search a number
-
+
54864889650000 = 2433551731671151
BaseRepresentation
bin11000111100110001110100…
…10000100001101101010000
321012021000212111022110122000
430132120322100201231100
524142401243222300000
6312404325442114000
714361600053231313
oct1436307220415520
9235230774273560
1054864889650000
1116533083978971
1261a122464b900
13247c976c58381
14d79690cda97a
15652265a6a000
hex31e63a421b50

54864889650000 has 1920 divisors, whose sum is σ = 218543452323840. Its totient is φ = 13115520000000.

The previous prime is 54864889649939. The next prime is 54864889650049. The reversal of 54864889650000 is 5698846845.

54864889650000 is a `hidden beast` number, since 5 + 4 + 8 + 6 + 48 + 89 + 6 + 500 + 0 + 0 = 666.

It is a super-2 number, since 2×548648896500002 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54864889650000.

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, 47667149425 + ... + 47667150575.

It is an arithmetic number, because the mean of its divisors is an integer number (113824714752).

Almost surely, 254864889650000 is an apocalyptic number.

54864889650000 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 54864889650000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109271726161920).

54864889650000 is an abundant number, since it is smaller than the sum of its proper divisors (163678562673840).

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

54864889650000 is a wasteful number, since it uses less digits than its factorization.

54864889650000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 54864889650000 in words is "fifty-four trillion, eight hundred sixty-four billion, eight hundred eighty-nine million, six hundred fifty thousand".