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997310627550720 = 29325742329151179
BaseRepresentation
bin1110001011000011000111100…
…1101011111001011000000000
311211210011222001101102120000200
43202300301321223321120000
52021204414131123110340
613453034102150245200
7420032213031450000
oct34260617153713000
94753158041376020
10997310627550720
1126985707546632a
1293a31593356800
1333a63cb1067622
141383c140360000
157a47511285330
hex38b0c79af9600

997310627550720 has 4800 divisors, whose sum is σ = 4402830179404800. Its totient is φ = 207964186214400.

The previous prime is 997310627550709. The next prime is 997310627550821. The reversal of 997310627550720 is 27055726013799.

997310627550720 is a `hidden beast` number, since 9 + 9 + 7 + 3 + 1 + 0 + 6 + 2 + 7 + 550 + 72 + 0 = 666.

It is a super-2 number, since 2×9973106275507202 (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 5571567751591 + ... + 5571567751769.

It is an arithmetic number, because the mean of its divisors is an integer number (917256287376).

Almost surely, 2997310627550720 is an apocalyptic number.

997310627550720 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 997310627550720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201415089702400).

997310627550720 is an abundant number, since it is smaller than the sum of its proper divisors (3405519551854080).

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

997310627550720 is a wasteful number, since it uses less digits than its factorization.

997310627550720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 50009400, while the sum is 63.

The spelling of 997310627550720 in words is "nine hundred ninety-seven trillion, three hundred ten billion, six hundred twenty-seven million, five hundred fifty thousand, seven hundred twenty".