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297013678416 = 2435713171923113
BaseRepresentation
bin1000101001001110110…
…01010001000101010000
31001101122101122011200000
410110213121101011100
514331241000202131
6344240213530000
730313163416410
oct4244731210520
91041571564600
10297013678416
11104a65529734
1249691343900
1322015226310
141053869a640
157ad541cce6
hex4527651150

297013678416 has 1920 divisors, whose sum is σ = 1244800327680. Its totient is φ = 66217181184.

The previous prime is 297013678289. The next prime is 297013678417. The reversal of 297013678416 is 614876310792.

297013678416 is a `hidden beast` number, since 2 + 97 + 0 + 136 + 7 + 8 + 416 = 666.

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 (297013678417) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2628439576 + ... + 2628439688.

It is an arithmetic number, because the mean of its divisors is an integer number (648333504).

Almost surely, 2297013678416 is an apocalyptic number.

297013678416 is a gapful number since it is divisible by the number (26) 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 297013678416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622400163840).

297013678416 is an abundant number, since it is smaller than the sum of its proper divisors (947786649264).

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

297013678416 is a wasteful number, since it uses less digits than its factorization.

297013678416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 297013678416 in words is "two hundred ninety-seven billion, thirteen million, six hundred seventy-eight thousand, four hundred sixteen".