Search a number
-
+
55483564032000 = 22135531367
BaseRepresentation
bin11001001110110010001100…
…01000000000000000000000
321021110011202222022102100000
430213121012020000000000
524233020314343011000
6314000444125200000
714454361303554606
oct1447310610000000
9237404688272300
1055483564032000
11167514a1496015
126281105400000
1324c6101755c50
14d9b5c1397876
156633c50a3000
hex327646200000

55483564032000 has 2112 divisors, whose sum is σ = 226737175077504. Its totient is φ = 13453649510400.

The previous prime is 55483564031969. The next prime is 55483564032037. The reversal of 55483564032000 is 23046538455.

55483564032000 is a `hidden beast` number, since 5 + 5 + 4 + 8 + 35 + 6 + 403 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 828112895967 + ... + 828112896033.

Almost surely, 255483564032000 is an apocalyptic number.

55483564032000 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 55483564032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113368587538752).

55483564032000 is an abundant number, since it is smaller than the sum of its proper divisors (171253611045504).

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

55483564032000 is an frugal number, since it uses more digits than its factorization.

55483564032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 55483564032000 in words is "fifty-five trillion, four hundred eighty-three billion, five hundred sixty-four million, thirty-two thousand".