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897427905120 = 253351119718553
BaseRepresentation
bin11010000111100101101…
…11110001101001100000
310011210102021221010101000
431003302313301221200
5104200413020430440
61524134522312000
7121560046221435
oct15036267615140
93153367833330
10897427905120
1131666272494a
12125b16958600
136681c936786
1431615969b8c
151852680e730
hexd0f2df1a60

897427905120 has 192 divisors, whose sum is σ = 3141447503040. Its totient is φ = 239279837184.

The previous prime is 897427905119. The next prime is 897427905169. The reversal of 897427905120 is 21509724798.

897427905120 is a `hidden beast` number, since 8 + 9 + 7 + 427 + 90 + 5 + 120 = 666.

897427905120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48361764 + ... + 48380316.

It is an arithmetic number, because the mean of its divisors is an integer number (16361705745).

Almost surely, 2897427905120 is an apocalyptic number.

897427905120 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 897427905120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570723751520).

897427905120 is an abundant number, since it is smaller than the sum of its proper divisors (2244019597920).

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

897427905120 is a wasteful number, since it uses less digits than its factorization.

897427905120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29774 (or 29760 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 897427905120 in words is "eight hundred ninety-seven billion, four hundred twenty-seven million, nine hundred five thousand, one hundred twenty".