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198394349296 = 241113473834817
BaseRepresentation
bin1011100011000100111…
…0011000011011110000
3200222002102222011210211
42320301032120123300
511222302423134141
6231050251233504
720222253100423
oct2706116303360
9628072864724
10198394349296
1177158490050
1232549a48894
13159297883c0
149860b599ba
15526250ad81
hex2e313986f0

198394349296 has 160 divisors (see below), whose sum is σ = 462498398208. Its totient is φ = 81241681920.

The previous prime is 198394349287. The next prime is 198394349299. The reversal of 198394349296 is 692943493891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198394349299) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41183880 + ... + 41188696.

Almost surely, 2198394349296 is an apocalyptic number.

198394349296 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 198394349296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231249199104).

198394349296 is an abundant number, since it is smaller than the sum of its proper divisors (264104048912).

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

198394349296 is a wasteful number, since it uses less digits than its factorization.

198394349296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5279 (or 5273 counting only the distinct ones).

The product of its digits is 90699264, while the sum is 67.

The spelling of 198394349296 in words is "one hundred ninety-eight billion, three hundred ninety-four million, three hundred forty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 44 47 52 88 94 104 143 176 188 208 286 376 383 517 572 611 752 766 1034 1144 1222 1532 2068 2288 2444 3064 4136 4213 4817 4888 4979 6128 6721 8272 8426 9634 9776 9958 13442 16852 18001 19268 19916 26884 33704 36002 38536 39832 52987 53768 54769 62621 67408 72004 77072 79664 105974 107536 109538 125242 144008 198011 211948 219076 226399 234013 250484 288016 396022 423896 438152 452798 468026 500968 688831 792044 847792 876304 905596 936052 1001936 1377662 1584088 1811192 1844911 1872104 2490389 2574143 2755324 2943187 3168176 3622384 3689822 3744208 4980778 5148286 5510648 5886374 7379644 9961556 10296572 11021296 11772748 14759288 19923112 20294021 20593144 23545496 23983843 29518576 32375057 39846224 40588042 41186288 47090992 47967686 64750114 81176084 86710817 95935372 129500228 162352168 173421634 191870744 259000456 263822273 324704336 346843268 383741488 518000912 527644546 693686536 953818987 1055289092 1127240621 1387373072 1907637974 2110578184 2254481242 3815275948 4221156368 4508962484 7630551896 9017924968 12399646831 15261103792 18035849936 24799293662 49598587324 99197174648 198394349296