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989928576000 = 210325372131971
BaseRepresentation
bin11100110011111000101…
…01110101010000000000
310111122011211021002001100
432121330111311100000
5112204333203413000
62034433352534400
7131343232026600
oct16317425652000
93448154232040
10989928576000
1135190a967a91
1213ba310b1400
1372471861660
1435caca10c00
151ab3c49aa00
hexe67c575400

989928576000 has 3168 divisors, whose sum is σ = 4770360241920. Its totient is φ = 195084288000.

The previous prime is 989928575983. The next prime is 989928576037. The reversal of 989928576000 is 675829989.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13942655965 + ... + 13942656035.

Almost surely, 2989928576000 is an apocalyptic number.

989928576000 is a gapful number since it is divisible by the number (90) 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 989928576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385180120960).

989928576000 is an abundant number, since it is smaller than the sum of its proper divisors (3780431665920).

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

989928576000 is a wasteful number, since it uses less digits than its factorization.

989928576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 989928576000 in words is "nine hundred eighty-nine billion, nine hundred twenty-eight million, five hundred seventy-six thousand".