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128421476352 = 2113313227787
BaseRepresentation
bin111011110011010000…
…1000011100000000000
3110021110220122221021000
41313212201003200000
54101001344220402
6134555045532000
712164255352411
oct1674641034000
9407426587230
10128421476352
114a510636a34
1220a80114000
13c157b4b180
1463039a5808
1535194a7c1c
hex1de6843800

128421476352 has 384 divisors, whose sum is σ = 412005484800. Its totient is φ = 39290241024.

The previous prime is 128421476341. The next prime is 128421476357. The reversal of 128421476352 is 253674124821.

128421476352 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 2 + 1 + 4 + 7 + 635 + 2 = 666.

128421476352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 128421476298 and 128421476307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128421476357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163178103 + ... + 163178889.

It is an arithmetic number, because the mean of its divisors is an integer number (1072930950).

Almost surely, 2128421476352 is an apocalyptic number.

128421476352 is a gapful number since it is divisible by the number (12) 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 128421476352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206002742400).

128421476352 is an abundant number, since it is smaller than the sum of its proper divisors (283584008448).

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

128421476352 is a wasteful number, since it uses less digits than its factorization.

128421476352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1032 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 128421476352 in words is "one hundred twenty-eight billion, four hundred twenty-one million, four hundred seventy-six thousand, three hundred fifty-two".