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997992652800 = 213352111337307
BaseRepresentation
bin11101000010111001111…
…11110110000000000000
310112101222211020121210110
432201130333312000000
5112322342104342200
62042245502031320
7132050121403563
oct16413477660000
93471884217713
10997992652800
11355278920270
12141501878540
137315844b230
14364359d84da
151ae60401b50
hexe85cff6000

997992652800 has 1344 divisors, whose sum is σ = 3994465837824. Its totient is φ = 216583372800.

The previous prime is 997992652799. The next prime is 997992652841. The reversal of 997992652800 is 8256299799.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3250790247 + ... + 3250790553.

It is an arithmetic number, because the mean of its divisors is an integer number (2972072796).

Almost surely, 2997992652800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997992652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997232918912).

997992652800 is an abundant number, since it is smaller than the sum of its proper divisors (2996473185024).

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

997992652800 is a wasteful number, since it uses less digits than its factorization.

997992652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 66.

The spelling of 997992652800 in words is "nine hundred ninety-seven billion, nine hundred ninety-two million, six hundred fifty-two thousand, eight hundred".