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206707138974400 = 26521009991279141
BaseRepresentation
bin101110111111111111000001…
…100101110101001011000000
31000002220000020220220111000211
4232333333001211311023000
5204043142210034140100
62011343540530523504
761353045413040661
oct5677770145651300
91002800226814024
10206707138974400
115a95500711a539
121b22528a736594
138b45526b000cc
143908970ccd368
1518d6dd8beb1ba
hexbbffc19752c0

206707138974400 has 84 divisors (see below), whose sum is σ = 508634187454000. Its totient is φ = 82681972300800.

The previous prime is 206707138974397. The next prime is 206707138974403. The reversal of 206707138974400 is 4479831707602.

It is an interprime number because it is at equal distance from previous prime (206707138974397) and next prime (206707138974403).

It is not an unprimeable number, because it can be changed into a prime (206707138974403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160958830 + ... + 162237970.

Almost surely, 2206707138974400 is an apocalyptic number.

206707138974400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206707138974400 is an abundant number, since it is smaller than the sum of its proper divisors (301927048479600).

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

206707138974400 is a wasteful number, since it uses less digits than its factorization.

206707138974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380162 (or 1380147 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 58.

The spelling of 206707138974400 in words is "two hundred six trillion, seven hundred seven billion, one hundred thirty-eight million, nine hundred seventy-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 100999 201998 403996 504995 807992 1009990 1279141 1615984 2019980 2524975 2558282 3231968 4039960 5049950 5116564 6395705 6463936 8079920 10099900 10233128 12791410 16159840 20199800 20466256 25582820 31978525 32319680 40399600 40932512 51165640 63957050 80799200 81865024 102331280 127914100 161598400 204662560 255828200 409325120 511656400 1023312800 2046625600 129191961859 258383923718 516767847436 645959809295 1033535694872 1291919618590 2067071389744 2583839237180 3229799046475 4134142779488 5167678474360 6459598092950 8268285558976 10335356948720 12919196185900 20670713897440 25838392371800 41341427794880 51676784743600 103353569487200 206707138974400