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198940164384 = 25313223352627
BaseRepresentation
bin1011100101000111000…
…0100000000100100000
3201000111111000110100110
42321101300200010200
511224412140230014
6231220350051320
720241631332153
oct2712160400440
9630444013313
10198940164384
1177408599aa5
12326807a9b40
13159b5891b00
1498b3439c9a
1552953c3d59
hex2e51c20120

198940164384 has 144 divisors (see below), whose sum is σ = 567916326432. Its totient is φ = 60948486144.

The previous prime is 198940164377. The next prime is 198940164389. The reversal of 198940164384 is 483461049891.

It is not an unprimeable number, because it can be changed into a prime (198940164389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3753879 + ... + 3806505.

It is an arithmetic number, because the mean of its divisors is an integer number (3943863378).

Almost surely, 2198940164384 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 198940164384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283958163216).

198940164384 is an abundant number, since it is smaller than the sum of its proper divisors (368976162048).

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

198940164384 is a wasteful number, since it uses less digits than its factorization.

198940164384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52899 (or 52878 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The spelling of 198940164384 in words is "one hundred ninety-eight billion, nine hundred forty million, one hundred sixty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 233 312 338 416 466 507 624 676 699 932 1014 1248 1352 1398 1864 2028 2704 2796 3029 3728 4056 5408 5592 6058 7456 8112 9087 11184 12116 16224 18174 22368 24232 36348 39377 48464 52627 72696 78754 96928 105254 118131 145392 157508 157881 210508 236262 290784 315016 315762 421016 472524 630032 631524 684151 842032 945048 1260064 1263048 1368302 1684064 1890096 2052453 2526096 2736604 3780192 4104906 5052192 5473208 8209812 8893963 10946416 12262091 16419624 17787926 21892832 24524182 26681889 32839248 35575852 36786273 49048364 53363778 65678496 71151704 73572546 98096728 106727556 142303408 147145092 159407183 196193456 213455112 284606816 294290184 318814366 392386912 426910224 478221549 588580368 637628732 853820448 956443098 1177160736 1275257464 1912886196 2072293379 2550514928 3825772392 4144586758 5101029856 6216880137 7651544784 8289173516 12433760274 15303089568 16578347032 24867520548 33156694064 49735041096 66313388128 99470082192 198940164384