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97903070430336 = 273519384743063
BaseRepresentation
bin10110010000101011010101…
…101111000100010010000000
3110211122102221022101100200000
4112100223111233010102000
5100313020442012232321
6544120014420400000
726423156231656503
oct2620532557042200
9424572838340600
1097903070430336
1129216505a26026
12ab92330246000
1342822b2246032
141a26768ddd13a
15b4ba3be0e826
hex590ad5bc4480

97903070430336 has 384 divisors, whose sum is σ = 307624548940800. Its totient is φ = 30908004738048.

The previous prime is 97903070430311. The next prime is 97903070430353. The reversal of 97903070430336 is 63303407030979.

97903070430336 is a `hidden beast` number, since 97 + 90 + 3 + 0 + 7 + 0 + 430 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×979030704303362 (a number of 29 digits) contains 22 as substring.

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

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, 2273463141 + ... + 2273506203.

It is an arithmetic number, because the mean of its divisors is an integer number (801105596200).

Almost surely, 297903070430336 is an apocalyptic number.

97903070430336 is a gapful number since it is divisible by the number (96) 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 97903070430336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153812274470400).

97903070430336 is an abundant number, since it is smaller than the sum of its proper divisors (209721478510464).

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

97903070430336 is a wasteful number, since it uses less digits than its factorization.

97903070430336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46958 (or 46934 counting only the distinct ones).

The product of its (nonzero) digits is 7715736, while the sum is 54.

The spelling of 97903070430336 in words is "ninety-seven trillion, nine hundred three billion, seventy million, four hundred thirty thousand, three hundred thirty-six".