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2117858309904 = 243587427117599
BaseRepresentation
bin11110110100011010001…
…100010011011100010000
321111110120012001022222010
4132310122030103130100
5234144333211404104
64300533005342520
7306003334416021
oct36643214233420
97443505038863
102117858309904
117471a6892497
122a2556567a40
13124936b2499c
147470d5b6c48
153a154e33489
hex1ed1a313710

2117858309904 has 80 divisors (see below), whose sum is σ = 5482049126400. Its totient is φ = 704545080960.

The previous prime is 2117858309891. The next prime is 2117858309921. The reversal of 2117858309904 is 4099038587112.

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 15 ways as a sum of consecutive naturals, for example, 120330897 + ... + 120348495.

It is an arithmetic number, because the mean of its divisors is an integer number (68525614080).

Almost surely, 22117858309904 is an apocalyptic number.

2117858309904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2117858309904 is an abundant number, since it is smaller than the sum of its proper divisors (3364190816496).

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

2117858309904 is a wasteful number, since it uses less digits than its factorization.

2117858309904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22468 (or 22462 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 57.

The spelling of 2117858309904 in words is "two trillion, one hundred seventeen billion, eight hundred fifty-eight million, three hundred nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 587 1174 1761 2348 3522 4271 4696 7044 8542 9392 12813 14088 17084 17599 25626 28176 34168 35198 51252 52797 68336 70396 102504 105594 140792 205008 211188 281584 422376 844752 2507077 5014154 7521231 10028308 10330613 15042462 20056616 20661226 30084924 30991839 40113232 41322452 60169848 61983678 75165329 82644904 120339696 123967356 150330658 165289808 225495987 247934712 300661316 450991974 495869424 601322632 901983948 1202645264 1803967896 3607935792 44122048123 88244096246 132366144369 176488192492 264732288738 352976384984 529464577476 705952769968 1058929154952 2117858309904