Search a number
-
+
557398400000 = 210551313399
BaseRepresentation
bin10000001110001111000…
…10001001110000000000
31222021202001102112201012
420013013202021300000
533113022442300000
61104022034100052
755161565140401
oct10070742116000
91867661375635
10557398400000
111a5433957a12
129003b71a628
13407408c4980
141cd9a3799a8
15e774c8b735
hex81c7889c00

557398400000 has 264 divisors, whose sum is σ = 1499971183200. Its totient is φ = 205793280000.

The previous prime is 557398399981. The next prime is 557398400021. The reversal of 557398400000 is 4893755.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41593301 + ... + 41606699.

Almost surely, 2557398400000 is an apocalyptic number.

557398400000 is a gapful number since it is divisible by the number (50) 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 557398400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749985591600).

557398400000 is an abundant number, since it is smaller than the sum of its proper divisors (942572783200).

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

557398400000 is an equidigital number, since it uses as much as digits as its factorization.

557398400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13457 (or 13419 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The spelling of 557398400000 in words is "five hundred fifty-seven billion, three hundred ninety-eight million, four hundred thousand".