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897616616820 = 22357111725145533
BaseRepresentation
bin11010000111111100001…
…11101001110101110100
310011210220110000200011020
431003332013221311310
5104201304323214240
61524205343141140
7121564530232350
oct15037607516564
93153813020136
10897616616820
1131674a1a7830
12125b69ba47b0
136684ca6a9c1
1431632a50460
15185381890d0
hexd0fe1e9d74

897616616820 has 384 divisors, whose sum is σ = 3331112988672. Its totient is φ = 174842880000.

The previous prime is 897616616801. The next prime is 897616616839. The reversal of 897616616820 is 28616616798.

It is an interprime number because it is at equal distance from previous prime (897616616801) and next prime (897616616839).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19690774 + ... + 19736306.

It is an arithmetic number, because the mean of its divisors is an integer number (8674773408).

Almost surely, 2897616616820 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 897616616820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665556494336).

897616616820 is an abundant number, since it is smaller than the sum of its proper divisors (2433496371852).

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

897616616820 is a wasteful number, since it uses less digits than its factorization.

897616616820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45831 (or 45829 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 897616616820 in words is "eight hundred ninety-seven billion, six hundred sixteen million, six hundred sixteen thousand, eight hundred twenty".