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199002263688 = 233219227672
BaseRepresentation
bin1011100101010101110…
…1011001000010001000
3201000122210212102120200
42321111131121002020
511230024034414223
6231230445052200
720243314221534
oct2712535310210
9630583772520
10199002263688
117743a654138
1232699557060
13159c56c5467
1498bb7a2bc4
15529aa8da43
hex2e55759088

199002263688 has 108 divisors (see below), whose sum is σ = 569029639815. Its totient is φ = 62820108576.

The previous prime is 199002263633. The next prime is 199002263701. The reversal of 199002263688 is 886362200991.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 99501131844 + 99501131844 = 315438^2 + 315438^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=315438.

It is a super-2 number, since 2×1990022636882 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 71918481 + ... + 71921247.

Almost surely, 2199002263688 is an apocalyptic number.

199002263688 is a gapful number since it is divisible by the number (18) 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 199002263688

199002263688 is an abundant number, since it is smaller than the sum of its proper divisors (370027376127).

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

199002263688 is an equidigital number, since it uses as much as digits as its factorization.

199002263688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5584 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 199002263688 in words is "one hundred ninety-nine billion, two million, two hundred sixty-three thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 361 456 684 722 1083 1368 1444 2166 2767 2888 3249 4332 5534 6498 8301 8664 11068 12996 16602 22136 24903 25992 33204 49806 52573 66408 99612 105146 157719 199224 210292 315438 420584 473157 630876 946314 998887 1261752 1892628 1997774 2996661 3785256 3995548 5993322 7656289 7991096 8989983 11986644 15312578 17979966 22968867 23973288 30625156 35959932 45937734 61250312 68906601 71919864 91875468 137813202 145469491 183750936 275626404 290938982 436408473 551252808 581877964 872816946 1163755928 1309225419 1745633892 2618450838 2763920329 3491267784 5236901676 5527840658 8291760987 10473803352 11055681316 16583521974 22111362632 24875282961 33167043948 49750565922 66334087896 99501131844 199002263688