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199986268032 = 273429665131
BaseRepresentation
bin1011101001000000011…
…1000100011110000000
3201010012101110000210000
42322100013010132000
511234032441034112
6231512235440000
720306563142055
oct2722007043600
9633171400700
10199986268032
11778a5042171
1232912bb6000
1315b21521a55
14997234902c
1553071607dc
hex2e901c4780

199986268032 has 160 divisors (see below), whose sum is σ = 615679435800. Its totient is φ = 64363299840.

The previous prime is 199986267977. The next prime is 199986268063. The reversal of 199986268032 is 230862689991.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31894 + ... + 633237.

Almost surely, 2199986268032 is an apocalyptic number.

199986268032 is a gapful number since it is divisible by the number (12) 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 199986268032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307839717900).

199986268032 is an abundant number, since it is smaller than the sum of its proper divisors (415693167768).

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

199986268032 is an equidigital number, since it uses as much as digits as its factorization.

199986268032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665186 (or 665165 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 199986268032 in words is "one hundred ninety-nine billion, nine hundred eighty-six million, two hundred sixty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 128 144 162 174 192 216 232 261 288 324 348 384 432 464 522 576 648 696 783 864 928 1044 1152 1296 1392 1566 1728 1856 2088 2349 2592 2784 3132 3456 3712 4176 4698 5184 5568 6264 8352 9396 10368 11136 12528 16704 18792 25056 33408 37584 50112 75168 100224 150336 300672 665131 1330262 1995393 2660524 3990786 5321048 5986179 7981572 10642096 11972358 15963144 17958537 19288799 21284192 23944716 31926288 35917074 38577598 42568384 47889432 53875611 57866397 63852576 71834148 77155196 85136768 95778864 107751222 115732794 127705152 143668296 154310392 173599191 191557728 215502444 231465588 255410304 287336592 308620784 347198382 383115456 431004888 462931176 520797573 574673184 617241568 694396764 766230912 862009776 925862352 1041595146 1149346368 1234483136 1388793528 1562392719 1724019552 1851724704 2083190292 2298692736 2468966272 2777587056 3124785438 3448039104 3703449408 4166380584 5555174112 6249570876 6896078208 7406898816 8332761168 11110348224 12499141752 16665522336 22220696448 24998283504 33331044672 49996567008 66662089344 99993134016 199986268032