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198912034944 = 2732724666671
BaseRepresentation
bin1011100101000000010…
…1001100100010000000
3201000102112002100000100
42321100011030202000
511224332440104234
6231213503122400
720241140254140
oct2712005144200
9630375070010
10198912034944
11773a3726a27
12326732a3400
13159acac337c
1498ad7d6920
155292bb9399
hex2e5014c880

198912034944 has 96 divisors (see below), whose sum is σ = 654160141440. Its totient is φ = 56832007680.

The previous prime is 198912034943. The next prime is 198912034961. The reversal of 198912034944 is 449430219891.

198912034944 is a `hidden beast` number, since 198 + 91 + 20 + 349 + 4 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (198912034943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12325272 + ... + 12341399.

It is an arithmetic number, because the mean of its divisors is an integer number (6814168140).

Almost surely, 2198912034944 is an apocalyptic number.

198912034944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

198912034944 is an abundant number, since it is smaller than the sum of its proper divisors (455248106496).

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

198912034944 is a wasteful number, since it uses less digits than its factorization.

198912034944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24666698 (or 24666683 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 198912034944 in words is "one hundred ninety-eight billion, nine hundred twelve million, thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 24666671 49333342 74000013 98666684 148000026 172666697 197333368 222000039 296000052 345333394 394666736 444000078 518000091 592000104 690666788 789333472 888000156 1036000182 1184000208 1381333576 1554000273 1578666944 1776000312 2072000364 2368000416 2762667152 3108000546 3157333888 3552000624 4144000728 4736000832 5525334304 6216001092 7104001248 8288001456 9472001664 11050668608 12432002184 14208002496 16576002912 22101337216 24864004368 28416004992 33152005824 49728008736 66304011648 99456017472 198912034944