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297638306421120 = 27335741587102241
BaseRepresentation
bin100001110101100110101000…
…1100001101001100110000000
31110000211221111022211011221000
41003223031101201221212000
5303003001222420433440
62533005052250332000
7116456441461332030
oct10353152141514600
91400757438734830
10297638306421120
1186922773618515
122947036a72a000
13ca10230775cb2
14536dab149b8c0
1524623c6e38730
hex10eb351869980

297638306421120 has 1024 divisors, whose sum is σ = 1236224544307200. Its totient is φ = 66258586828800.

The previous prime is 297638306421107. The next prime is 297638306421121. The reversal of 297638306421120 is 21124603836792.

297638306421120 is a `hidden beast` number, since 2 + 9 + 7 + 63 + 8 + 30 + 6 + 421 + 120 = 666.

It is a super-2 number, since 2×2976383064211202 (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (297638306421121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2911093200 + ... + 2911195440.

It is an arithmetic number, because the mean of its divisors is an integer number (1207250531550).

Almost surely, 2297638306421120 is an apocalyptic number.

297638306421120 is a gapful number since it is divisible by the number (20) 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 297638306421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618112272153600).

297638306421120 is an abundant number, since it is smaller than the sum of its proper divisors (938586237886080).

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

297638306421120 is a wasteful number, since it uses less digits than its factorization.

297638306421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102904 (or 102886 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 297638306421120 in words is "two hundred ninety-seven trillion, six hundred thirty-eight billion, three hundred six million, four hundred twenty-one thousand, one hundred twenty".