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19879494192 = 24321941177217
BaseRepresentation
bin10010100000111010…
…010000001000110000
31220022102202221100200
4102200322100020300
5311203122303232
613044342315200
71302426625005
oct224072201060
956272687320
1019879494192
118481502248
123a29728b00
131b4a73471c
14d682b78ac
157b53b577c
hex4a0e90230

19879494192 has 120 divisors (see below), whose sum is σ = 59991837360. Its totient is φ = 6124584960.

The previous prime is 19879494191. The next prime is 19879494203. The reversal of 19879494192 is 29149497891.

It is not an unprimeable number, because it can be changed into a prime (19879494191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23568 + ... + 200784.

It is an arithmetic number, because the mean of its divisors is an integer number (499931978).

Almost surely, 219879494192 is an apocalyptic number.

19879494192 is a gapful number since it is divisible by the number (12) 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 19879494192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29995918680).

19879494192 is an abundant number, since it is smaller than the sum of its proper divisors (40112343168).

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

19879494192 is a wasteful number, since it uses less digits than its factorization.

19879494192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177291 (or 177282 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 63.

The spelling of 19879494192 in words is "nineteen billion, eight hundred seventy-nine million, four hundred ninety-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 41 48 57 72 76 82 114 123 144 152 164 171 228 246 304 328 342 369 456 492 656 684 738 779 912 984 1368 1476 1558 1968 2337 2736 2952 3116 4674 5904 6232 7011 9348 12464 14022 18696 28044 37392 56088 112176 177217 354434 531651 708868 1063302 1417736 1594953 2126604 2835472 3189906 3367123 4253208 6379812 6734246 7265897 8506416 10101369 12759624 13468492 14531794 20202738 21797691 25519248 26936984 29063588 30304107 40405476 43595382 53873968 58127176 60608214 65393073 80810952 87190764 116254352 121216428 130786146 138052043 161621904 174381528 242432856 261572292 276104086 348763056 414156129 484865712 523144584 552208172 828312258 1046289168 1104416344 1242468387 1656624516 2208832688 2484936774 3313249032 4969873548 6626498064 9939747096 19879494192