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483045187968 = 27327211328349
BaseRepresentation
bin1110000011101111011…
…11001010000110000000
31201011211020202000120100
413001313233022012000
530403234032003333
61005524034442400
746620211231440
oct7016757120600
91634736660510
10483045187968
11176949463252
127974aa33400
1336721619715
1419545548120
15c8723d5213
hex7077bca180

483045187968 has 192 divisors, whose sum is σ = 1589393988000. Its totient is φ = 137942728704.

The previous prime is 483045187949. The next prime is 483045187979. The reversal of 483045187968 is 869781540384.

483045187968 is a `hidden beast` number, since 48 + 3 + 0 + 4 + 518 + 79 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17025058 + ... + 17053406.

Almost surely, 2483045187968 is an apocalyptic number.

483045187968 is a gapful number since it is divisible by the number (48) 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 483045187968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794696994000).

483045187968 is an abundant number, since it is smaller than the sum of its proper divisors (1106348800032).

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

483045187968 is a wasteful number, since it uses less digits than its factorization.

483045187968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30489 (or 30474 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 483045187968 in words is "four hundred eighty-three billion, forty-five million, one hundred eighty-seven thousand, nine hundred sixty-eight".