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997448571504 = 243273112475367
BaseRepresentation
bin11101000001111001001…
…00010101101001110000
310112100120220110102120100
432200330210111221300
5112320233313242004
62042115504312400
7132030463653000
oct16407444255160
93470526412510
10997448571504
11355019795a00
1214138b612700
137309c800a38
14363c364a000
151ae2c77c739
hexe83c915a70

997448571504 has 1440 divisors, whose sum is σ = 3778858137600. Its totient is φ = 245067863040.

The previous prime is 997448571487. The next prime is 997448571619. The reversal of 997448571504 is 405175844799.

997448571504 is a `hidden beast` number, since 9 + 9 + 7 + 4 + 4 + 8 + 571 + 50 + 4 = 666.

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, 14887292079 + ... + 14887292145.

It is an arithmetic number, because the mean of its divisors is an integer number (2624207040).

Almost surely, 2997448571504 is an apocalyptic number.

997448571504 is a gapful number since it is divisible by the number (94) 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 997448571504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889429068800).

997448571504 is an abundant number, since it is smaller than the sum of its proper divisors (2781409566096).

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

997448571504 is a wasteful number, since it uses less digits than its factorization.

997448571504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 997448571504 in words is "nine hundred ninety-seven billion, four hundred forty-eight million, five hundred seventy-one thousand, five hundred four".