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19991813088 = 2531322714547
BaseRepresentation
bin10010100111100110…
…101101101111100000
31220121021010022220210
4102213212231233200
5311420401004323
613103433534120
71305262415232
oct224746555740
956537108823
1019991813088
118529948085
123a5b274340
131b67a9c400
14d79194252
157c01a0293
hex4a79adbe0

19991813088 has 144 divisors (see below), whose sum is σ = 57048074496. Its totient is φ = 6127280640.

The previous prime is 19991813087. The next prime is 19991813117. The reversal of 19991813088 is 88031819991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19991813087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4394431 + ... + 4398977.

It is an arithmetic number, because the mean of its divisors is an integer number (396167184).

Almost surely, 219991813088 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 19991813088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28524037248).

19991813088 is an abundant number, since it is smaller than the sum of its proper divisors (37056261408).

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

19991813088 is a wasteful number, since it uses less digits than its factorization.

19991813088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4857 (or 4836 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 57.

The spelling of 19991813088 in words is "nineteen billion, nine hundred ninety-one million, eight hundred thirteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 271 312 338 416 507 542 624 676 813 1014 1084 1248 1352 1626 2028 2168 2704 3252 3523 4056 4336 4547 5408 6504 7046 8112 8672 9094 10569 13008 13641 14092 16224 18188 21138 26016 27282 28184 36376 42276 45799 54564 56368 59111 72752 84552 91598 109128 112736 118222 137397 145504 169104 177333 183196 218256 236444 274794 338208 354666 366392 436512 472888 549588 709332 732784 768443 945776 1099176 1232237 1418664 1465568 1536886 1891552 2198352 2305329 2464474 2837328 3073772 3696711 4396704 4610658 4928948 5674656 6147544 7393422 9221316 9857896 12295088 14786844 16019081 18442632 19715792 24590176 29573688 32038162 36885264 39431584 48057243 59147376 64076324 73770528 96114486 118294752 128152648 192228972 208248053 256305296 384457944 416496106 512610592 624744159 768915888 832992212 1249488318 1537831776 1665984424 2498976636 3331968848 4997953272 6663937696 9995906544 19991813088