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897019269120 = 212325131719261
BaseRepresentation
bin11010000110110101000…
…00111101000000000000
310011202100211000021011100
431003122200331000000
5104144043413102440
61524030204014400
7121543654661022
oct15033240750000
93152324007140
10897019269120
11316472aa0647
12125a21b31400
1366786090420
14315b7598012
15185009e2230
hexd0da83d000

897019269120 has 1872 divisors, whose sum is σ = 3803196236112. Its totient is φ = 193651015680.

The previous prime is 897019269049. The next prime is 897019269131. The reversal of 897019269120 is 21962910798.

It can be written as a sum of positive squares in 8 ways, for example, as 149527609344 + 747491659776 = 386688^2 + 864576^2 .

It is a tau number, because it is divible by the number of its divisors (1872).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14705233890 + ... + 14705233950.

It is an arithmetic number, because the mean of its divisors is an integer number (2031621921).

Almost surely, 2897019269120 is an apocalyptic number.

897019269120 is a gapful number since it is divisible by the number (80) 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 897019269120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901598118056).

897019269120 is an abundant number, since it is smaller than the sum of its proper divisors (2906176966992).

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

897019269120 is a wasteful number, since it uses less digits than its factorization.

897019269120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 897019269120 in words is "eight hundred ninety-seven billion, nineteen million, two hundred sixty-nine thousand, one hundred twenty".