Search a number
-
+
483297893205120 = 2733572931371131063
BaseRepresentation
bin110110111100011101000111…
…1001111101100010010000000
32100101012211100011000011201000
41231320322033033230102000
51001321323041130030440
64431515553112212000
7203541056222555340
oct15570721717542200
92311184304004630
10483297893205120
1112aaa2538189614
124625645269a000
1317989a46411b76
14874ba584dcd20
153ad1a49a0e730
hex1b78e8f3ec480

483297893205120 has 4096 divisors, whose sum is σ = 2166420307968000. Its totient is φ = 99446166650880.

The previous prime is 483297893205097. The next prime is 483297893205143. The reversal of 483297893205120 is 21502398792384.

483297893205120 is a `hidden beast` number, since 4 + 8 + 3 + 2 + 9 + 7 + 8 + 93 + 20 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (483297893205097) and next prime (483297893205143).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 454654649709 + ... + 454654650771.

It is an arithmetic number, because the mean of its divisors is an integer number (528911208000).

Almost surely, 2483297893205120 is an apocalyptic number.

483297893205120 is a gapful number since it is divisible by the number (40) 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 483297893205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083210153984000).

483297893205120 is an abundant number, since it is smaller than the sum of its proper divisors (1683122414762880).

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

483297893205120 is a wasteful number, since it uses less digits than its factorization.

483297893205120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 483297893205120 in words is "four hundred eighty-three trillion, two hundred ninety-seven billion, eight hundred ninety-three million, two hundred five thousand, one hundred twenty".