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128476212480 = 283457211319
BaseRepresentation
bin111011110100111000…
…1110110110100000000
3110021121201122211010000
41313221301312310000
54101104402244410
6135004323040000
712165521534100
oct1675161666400
9407551584100
10128476212480
114a539522000
1220a96510000
13c1662a4205
14630ad73200
15351e1badc0
hex1de9c76d00

128476212480 has 2160 divisors, whose sum is σ = 619160794560. Its totient is φ = 25291284480.

The previous prime is 128476212451. The next prime is 128476212511. The reversal of 128476212480 is 84212674821.

128476212480 is a `hidden beast` number, since 1 + 2 + 84 + 76 + 21 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×1284762124802 (a number of 23 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6761905911 + ... + 6761905929.

It is an arithmetic number, because the mean of its divisors is an integer number (286648516).

Almost surely, 2128476212480 is an apocalyptic number.

128476212480 is a gapful number since it is divisible by the number (10) 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 128476212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309580397280).

128476212480 is an abundant number, since it is smaller than the sum of its proper divisors (490684582080).

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

128476212480 is an equidigital number, since it uses as much as digits as its factorization.

128476212480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 128476212480 in words is "one hundred twenty-eight billion, four hundred seventy-six million, two hundred twelve thousand, four hundred eighty".