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9999997378560 = 21334572397193
BaseRepresentation
bin1001000110000100111001…
…0010101010000000000000
31022101222202000022001220000
42101201032102222000000
52302314443312103220
633133534012520000
72051322154145520
oct221411622520000
938358660261800
109999997378560
113205a7a903542
121156096a80000
13576cc374b287
14268006a49680
151251c9ac6390
hex9184e4aa000

9999997378560 has 2240 divisors, whose sum is σ = 43416927493632. Its totient is φ = 2152583921664.

The previous prime is 9999997378559. The next prime is 9999997378573. The reversal of 9999997378560 is 658737999999.

9999997378560 is a `hidden beast` number, since 9 + 9 + 9 + 9 + 9 + 9 + 7 + 37 + 8 + 560 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 51813457824 + ... + 51813458016.

Almost surely, 29999997378560 is an apocalyptic number.

9999997378560 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 9999997378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21708463746816).

9999997378560 is an abundant number, since it is smaller than the sum of its proper divisors (33416930115072).

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

9999997378560 is a wasteful number, since it uses less digits than its factorization.

9999997378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 18749238480, while the sum is 90.

The spelling of 9999997378560 in words is "nine trillion, nine hundred ninety-nine billion, nine hundred ninety-seven million, three hundred seventy-eight thousand, five hundred sixty".