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196254014208 = 2837239915217
BaseRepresentation
bin1011011011000110100…
…1101001101100000000
3200202120021112220000220
42312301221221230000
511203412011423313
6230054032343040
720115233411430
oct2666151515400
9622507486026
10196254014208
117625a30267a
12320510a4a80
1315678217335
1496da7b02c0
155189677823
hex2db1a69b00

196254014208 has 144 divisors (see below), whose sum is σ = 597227366400. Its totient is φ = 56045518848.

The previous prime is 196254014167. The next prime is 196254014213. The reversal of 196254014208 is 802410452691.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 196254014208.

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, 12889416 + ... + 12904632.

Almost surely, 2196254014208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196254014208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298613683200).

196254014208 is an abundant number, since it is smaller than the sum of its proper divisors (400973352192).

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

196254014208 is a wasteful number, since it uses less digits than its factorization.

196254014208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17642 (or 17628 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

Adding to 196254014208 its reverse (802410452691), we get a palindrome (998664466899).

The spelling of 196254014208 in words is "one hundred ninety-six billion, two hundred fifty-four million, fourteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2399 2688 4798 5376 7197 9596 14394 15217 16793 19192 28788 30434 33586 38384 45651 50379 57576 60868 67172 76768 91302 100758 106519 115152 121736 134344 153536 182604 201516 213038 230304 243472 268688 307072 319557 365208 403032 426076 460608 486944 537376 614144 639114 730416 806064 852152 921216 973888 1074752 1278228 1460832 1612128 1704304 1842432 1947776 2149504 2556456 2921664 3224256 3408608 3895552 4299008 5112912 5843328 6448512 6817216 10225824 11686656 12897024 13634432 20451648 27268864 36505583 40903296 73011166 81806592 109516749 146022332 219033498 255539081 292044664 438066996 511078162 584089328 766617243 876133992 1022156324 1168178656 1533234486 1752267984 2044312648 2336357312 3066468972 3504535968 4088625296 4672714624 6132937944 7009071936 8177250592 9345429248 12265875888 14018143872 16354501184 24531751776 28036287744 32709002368 49063503552 65418004736 98127007104 196254014208