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997941060900 = 22325272672712
BaseRepresentation
bin11101000010110011110…
…11000010010100100100
310112101212020011111000100
432201121323002110210
5112322240402422100
62042240420144100
7132045624026100
oct16413173022444
93471766144010
10997941060900
11355251792533
121414a8538030
137314a856394
143642cc08900
151ae5ab10400
hexe859ec2524

997941060900 has 729 divisors, whose sum is σ = 3746560612977. Its totient is φ = 221531587200.

The previous prime is 997941060881. The next prime is 997941060923. The reversal of 997941060900 is 9060149799.

The square root of 997941060900 is 998970.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 359258781924 + 638682278976 = 599382^2 + 799176^2 .

It is a super-2 number, since 2×9979410609002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 14055507865 + ... + 14055507935.

Almost surely, 2997941060900 is an apocalyptic number.

997941060900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

997941060900 is the 998970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997941060900

997941060900 is an abundant number, since it is smaller than the sum of its proper divisors (2748619552077).

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

997941060900 is a wasteful number, since it uses less digits than its factorization.

997941060900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 997941060900 in words is "nine hundred ninety-seven billion, nine hundred forty-one million, sixty thousand, nine hundred".