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128219520000 = 2103541113467
BaseRepresentation
bin111011101101001111…
…0101001110000000000
3110020221211122111020010
41313122132221300000
54100043144120000
6134523033144520
712156253636365
oct1673236516000
9406854574203
10128219520000
114a417638160
1220a2455b140
13c12505a580
1462c4c3446c
1535068b3d50
hex1dda7a9c00

128219520000 has 880 divisors, whose sum is σ = 502786956672. Its totient is φ = 28631040000.

The previous prime is 128219519999. The next prime is 128219520007. The reversal of 128219520000 is 25912821.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 128219520000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128219520007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 274559767 + ... + 274560233.

Almost surely, 2128219520000 is an apocalyptic number.

128219520000 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 128219520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251393478336).

128219520000 is an abundant number, since it is smaller than the sum of its proper divisors (374567436672).

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

128219520000 is a wasteful number, since it uses less digits than its factorization.

128219520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 128219520000 in words is "one hundred twenty-eight billion, two hundred nineteen million, five hundred twenty thousand".