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199927025424 = 24327253232
BaseRepresentation
bin1011101000110010010…
…1000100111100010000
3201010001020222012012100
42322030211010330100
511233422304303144
6231502322000400
720305243451100
oct2721445047420
9633036865170
10199927025424
1177874659335
12328b71a6100
1315b1217b759
149968527200
155301d5c269
hex2e8c944f10

199927025424 has 135 divisors (see below), whose sum is σ = 650990169063. Its totient is φ = 57111276096.

The previous prime is 199927025407. The next prime is 199927025443. The reversal of 199927025424 is 424520729991.

It is a happy number.

The square root of 199927025424 is 447132.

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

199927025424 is a `hidden beast` number, since 1 + 9 + 9 + 92 + 7 + 0 + 2 + 542 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 37556427 + ... + 37561749.

Almost surely, 2199927025424 is an apocalyptic number.

199927025424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

199927025424 is the 447132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199927025424

199927025424 is an abundant number, since it is smaller than the sum of its proper divisors (451063143639).

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

199927025424 is an frugal number, since it uses more digits than its factorization.

199927025424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10674 (or 5335 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 199927025424 in words is "one hundred ninety-nine billion, nine hundred twenty-seven million, twenty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 5323 7056 10646 15969 21292 31938 37261 42584 47907 63876 74522 85168 95814 111783 127752 149044 191628 223566 255504 260827 298088 335349 383256 447132 521654 596176 670698 766512 782481 894264 1043308 1341396 1564962 1788528 2086616 2347443 2682792 3129924 4173232 4694886 5365584 6259848 9389772 12519696 18779544 28334329 37559088 56668658 85002987 113337316 170005974 198340303 226674632 255008961 340011948 396680606 453349264 510017922 595020909 680023896 793361212 1020035844 1190041818 1360047792 1388382121 1586722424 1785062727 2040071688 2380083636 2776764242 3173444848 3570125454 4080143376 4165146363 4760167272 5553528484 7140250908 8330292726 9520334544 11107056968 12495439089 14280501816 16660585452 22214113936 24990878178 28561003632 33321170904 49981756356 66642341808 99963512712 199927025424