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196881446976 = 26323197226313
BaseRepresentation
bin1011011101011100001…
…1000111100001000000
3200211012000011202222120
42313113003013201000
511211203122300401
6230240204404240
720136622454454
oct2672703074100
9624160152876
10196881446976
1176551498155
12321a7246680
13157481c9526
149759c58664
1551c47b3836
hex2dd70c7840

196881446976 has 112 divisors (see below), whose sum is σ = 546325617024. Its totient is φ = 62454870016.

The previous prime is 196881446959. The next prime is 196881447001. The reversal of 196881446976 is 679644188691.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a self number, because there is not a number n which added to its sum of digits gives 196881446976.

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 15 ways as a sum of consecutive naturals, for example, 756796 + ... + 983108.

Almost surely, 2196881446976 is an apocalyptic number.

196881446976 is a gapful number since it is divisible by the number (16) 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 196881446976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273162808512).

196881446976 is an abundant number, since it is smaller than the sum of its proper divisors (349444170048).

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

196881446976 is a wasteful number, since it uses less digits than its factorization.

196881446976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226548 (or 226538 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 69.

The spelling of 196881446976 in words is "one hundred ninety-six billion, eight hundred eighty-one million, four hundred forty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 197 276 368 394 552 591 736 788 1104 1182 1472 1576 2208 2364 3152 4416 4531 4728 6304 9062 9456 12608 13593 18124 18912 27186 36248 37824 54372 72496 108744 144992 217488 226313 289984 434976 452626 678939 869952 905252 1357878 1810504 2715756 3621008 5205199 5431512 7242016 10410398 10863024 14484032 15615597 20820796 21726048 31231194 41641592 43452096 44583661 62462388 83283184 89167322 124924776 133750983 166566368 178334644 249849552 267501966 333132736 356669288 499699104 535003932 713338576 999398208 1025424203 1070007864 1426677152 2050848406 2140015728 2853354304 3076272609 4101696812 4280031456 6152545218 8203393624 8560062912 12305090436 16406787248 24610180872 32813574496 49220361744 65627148992 98440723488 196881446976