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196279419552 = 2534387754217
BaseRepresentation
bin1011011011001100101…
…0100100001010100000
3200202122001100121121120
42312303022210022200
511203440012411202
6230100341052240
720115662352456
oct2666312441240
9622561317546
10196279419552
1176272685027
12320596b7080
1315680570b98
1496ddd049d6
15518b9e50bc
hex2db32a42a0

196279419552 has 96 divisors (see below), whose sum is σ = 527826543552. Its totient is φ = 63830882304.

The previous prime is 196279419547. The next prime is 196279419617. The reversal of 196279419552 is 255914972691.

It is a happy number.

196279419552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1962794195522 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3593148 + ... + 3647364.

It is an arithmetic number, because the mean of its divisors is an integer number (5498193162).

Almost surely, 2196279419552 is an apocalyptic number.

196279419552 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 196279419552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263913271776).

196279419552 is an abundant number, since it is smaller than the sum of its proper divisors (331547124000).

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

196279419552 is a wasteful number, since it uses less digits than its factorization.

196279419552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55150 (or 55142 counting only the distinct ones).

The product of its digits is 12247200, while the sum is 60.

The spelling of 196279419552 in words is "one hundred ninety-six billion, two hundred seventy-nine million, four hundred nineteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 877 1032 1376 1754 2064 2631 3508 4128 5262 7016 10524 14032 21048 28064 37711 42096 54217 75422 84192 108434 113133 150844 162651 216868 226266 301688 325302 433736 452532 603376 650604 867472 905064 1206752 1301208 1734944 1810128 2331331 2602416 3620256 4662662 5204832 6993993 9325324 13987986 18650648 27975972 37301296 47548309 55951944 74602592 95096618 111903888 142644927 190193236 223807776 285289854 380386472 570579708 760772944 1141159416 1521545888 2044577287 2282318832 4089154574 4564637664 6133731861 8178309148 12267463722 16356618296 24534927444 32713236592 49069854888 65426473184 98139709776 196279419552