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199195539424 = 25717275319001
BaseRepresentation
bin1011100110000011111…
…0101011011111100000
3201001011021112212001021
42321200332223133200
511230423024230144
6231301551415224
720251152101620
oct2714076533740
9631137485037
10199195539424
1177529764052
1232732224514
1315a26766bbb
1498d9314880
1552aca1a884
hex2e60fab7e0

199195539424 has 96 divisors (see below), whose sum is σ = 474751440576. Its totient is φ = 80314368000.

The previous prime is 199195539337. The next prime is 199195539427. The reversal of 199195539424 is 424935591991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199195539427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10473924 + ... + 10492924.

It is an arithmetic number, because the mean of its divisors is an integer number (4945327506).

Almost surely, 2199195539424 is an apocalyptic number.

199195539424 is a gapful number since it is divisible by the number (14) 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 199195539424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237375720288).

199195539424 is an abundant number, since it is smaller than the sum of its proper divisors (275555901152).

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

199195539424 is a wasteful number, since it uses less digits than its factorization.

199195539424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21788 (or 21780 counting only the distinct ones).

The product of its digits is 15746400, while the sum is 61.

The spelling of 199195539424 in words is "one hundred ninety-nine billion, one hundred ninety-five million, five hundred thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 2753 3808 5506 11012 19001 19271 22024 38002 38542 44048 46801 76004 77084 88096 93602 133007 152008 154168 187204 266014 304016 308336 323017 327607 374408 532028 608032 616672 646034 655214 748816 1064056 1292068 1310428 1497632 2128112 2261119 2584136 2620856 4256224 4522238 5168272 5241712 9044476 10336544 10483424 18088952 36177904 52309753 72355808 104619506 209239012 366168271 418478024 732336542 836956048 889265801 1464673084 1673912096 1778531602 2929346168 3557063204 5858692336 6224860607 7114126408 11717384672 12449721214 14228252816 24899442428 28456505632 49798884856 99597769712 199195539424