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6897297213504 = 263319217476329
BaseRepresentation
bin110010001011110011011…
…1100110100100001000000
3220102101010111112212002000
41210113212330310201000
51401001131041313004
622400324040224000
71311212311661535
oct144274674644100
926371114485060
106897297213504
11221a1445127a5
129348aaa6b000
133b0548b98049
1419bb8c258d8c
15be63407dc39
hex645e6f34840

6897297213504 has 336 divisors, whose sum is σ = 21415776523200. Its totient is φ = 2176503146496.

The previous prime is 6897297213461. The next prime is 6897297213553. The reversal of 6897297213504 is 4053127927986.

6897297213504 is a `hidden beast` number, since 6 + 8 + 97 + 29 + 7 + 2 + 13 + 504 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1089789412 + ... + 1089795740.

It is a 1-persistent number, because it is pandigital, but 2⋅6897297213504 = 13794594427008 is not.

Almost surely, 26897297213504 is an apocalyptic number.

6897297213504 is a gapful number since it is divisible by the number (64) 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 6897297213504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10707888261600).

6897297213504 is an abundant number, since it is smaller than the sum of its proper divisors (14518479309696).

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

6897297213504 is a wasteful number, since it uses less digits than its factorization.

6897297213504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8135 (or 8100 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 6897297213504 in words is "six trillion, eight hundred ninety-seven billion, two hundred ninety-seven million, two hundred thirteen thousand, five hundred four".