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997797549954240 = 26345717419078699
BaseRepresentation
bin1110001011011111011101100…
…0100001011101010011000000
311211211220111212211211112110000
43202313313120201131103000
52021240403340242013430
613454045511051240000
7420112331312546040
oct34267673041352300
94754814784745400
10997797549954240
11269a24623469a52
1293aaba24749000
1333a9ab9ca15319
14138579327b9720
157a5500dc39e60
hex38b7dd885d4c0

997797549954240 has 2240 divisors, whose sum is σ = 4405114743321600. Its totient is φ = 209161888727040.

The previous prime is 997797549954239. The next prime is 997797549954287. The reversal of 997797549954240 is 42459945797799.

997797549954240 is a `hidden beast` number, since 9 + 9 + 7 + 7 + 9 + 7 + 54 + 9 + 9 + 542 + 4 + 0 = 666.

997797549954240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (90).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 114702553411 + ... + 114702562109.

It is an arithmetic number, because the mean of its divisors is an integer number (1966569081840).

Almost surely, 2997797549954240 is an apocalyptic number.

997797549954240 is a gapful number since it is divisible by the number (90) 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 997797549954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202557371660800).

997797549954240 is an abundant number, since it is smaller than the sum of its proper divisors (3407317193367360).

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

997797549954240 is a wasteful number, since it uses less digits than its factorization.

997797549954240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9700 (or 9681 counting only the distinct ones).

The product of its (nonzero) digits is 64812182400, while the sum is 90.

The spelling of 997797549954240 in words is "nine hundred ninety-seven trillion, seven hundred ninety-seven billion, five hundred forty-nine million, nine hundred fifty-four thousand, two hundred forty".