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128032056555480 = 2332571131722310069
BaseRepresentation
bin11101000111000111001001…
…010000000011011111011000
3121210022202010011020011221100
4131013013021100003133120
5113240134122434233410
61132145040444111400
735653003500344010
oct3507071120033730
9553282104204840
10128032056555480
11378820aa156000
1212439578835560
1356594a94a244c
142388adad34c40
15ec061aa298c0
hex7471c94037d8

128032056555480 has 1536 divisors, whose sum is σ = 556374118809600. Its totient is φ = 24924360130560.

The previous prime is 128032056555457. The next prime is 128032056555521. The reversal of 128032056555480 is 84555650230821.

128032056555480 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 3 + 2 + 0 + 5 + 6 + 5 + 554 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12715463886 + ... + 12715473954.

It is an arithmetic number, because the mean of its divisors is an integer number (362222733600).

Almost surely, 2128032056555480 is an apocalyptic number.

128032056555480 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 128032056555480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278187059404800).

128032056555480 is an abundant number, since it is smaller than the sum of its proper divisors (428342062254120).

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

128032056555480 is a wasteful number, since it uses less digits than its factorization.

128032056555480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10366 (or 10337 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 128032056555480 in words is "one hundred twenty-eight trillion, thirty-two billion, fifty-six million, five hundred fifty-five thousand, four hundred eighty".