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98003347312896 = 283231266532
BaseRepresentation
bin10110010010001000101110…
…101101000001000100000000
3110212000000202210000210101100
4112102020232231001010000
5100321141323403003041
6544234041034134400
726433336210263004
oct2622105655010400
9425000683023340
1098003347312896
1129254a93686093
12aba9856881400
13428b8a321b1bc
141a2b55cb36704
15b4e45a5dd6b6
hex59222eb41100

98003347312896 has 243 divisors, whose sum is σ = 292020829810437. Its totient is φ = 31609231165440.

The previous prime is 98003347312823. The next prime is 98003347313017. The reversal of 98003347312896 is 69821374330089.

The square root of 98003347312896 is 9899664.

It is a perfect power (a square), and thus also a powerful number.

98003347312896 is a `hidden beast` number, since 9 + 8 + 0 + 0 + 3 + 347 + 3 + 1 + 289 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2371846406400 + 95631500906496 = 1540080^2 + 9779136^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14730696706 + ... + 14730703358.

Almost surely, 298003347312896 is an apocalyptic number.

98003347312896 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

98003347312896 is the 9899664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98003347312896

98003347312896 is an abundant number, since it is smaller than the sum of its proper divisors (194017482497541).

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

98003347312896 is an frugal number, since it uses more digits than its factorization.

98003347312896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13390 (or 6689 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 98003347312896 in words is "ninety-eight trillion, three billion, three hundred forty-seven million, three hundred twelve thousand, eight hundred ninety-six".