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486228451968 = 2733729712957
BaseRepresentation
bin1110001001101010111…
…10010110001010000000
31201111001002121120212000
413010311132112022000
530431243440430333
61011211551104000
750062123435500
oct7046536261200
91644032546760
10486228451968
11178232315646
127a298b12000
1336b0ac7869c
1419768217a00
15c9abac9713
hex7135796280

486228451968 has 384 divisors, whose sum is σ = 1671627326400. Its totient is φ = 138732410880.

The previous prime is 486228451939. The next prime is 486228451991. The reversal of 486228451968 is 869154822684.

486228451968 is a `hidden beast` number, since 48 + 62 + 28 + 451 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164431546 + ... + 164434502.

Almost surely, 2486228451968 is an apocalyptic number.

486228451968 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 486228451968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835813663200).

486228451968 is an abundant number, since it is smaller than the sum of its proper divisors (1185398874432).

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

486228451968 is a wasteful number, since it uses less digits than its factorization.

486228451968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3965 (or 3940 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 63.

The spelling of 486228451968 in words is "four hundred eighty-six billion, two hundred twenty-eight million, four hundred fifty-one thousand, nine hundred sixty-eight".