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19203434496 = 211321041853
BaseRepresentation
bin10001111000100111…
…010010100000000000
31211120022122112210200
4101320213102200000
5303312034400441
612453312125200
71246610333331
oct217047224000
954508575720
1019203434496
118164924624
12387b236800
131a706580bc
14d025b2288
15775d717b6
hex4789d2800

19203434496 has 72 divisors (see below), whose sum is σ = 55463097690. Its totient is φ = 6401138688.

The previous prime is 19203434483. The next prime is 19203434507. The reversal of 19203434496 is 69443430291.

19203434496 is a `hidden beast` number, since 1 + 9 + 203 + 434 + 4 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19136848896 + 66585600 = 138336^2 + 8160^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 502495 + ... + 539358.

Almost surely, 219203434496 is an apocalyptic number.

19203434496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

19203434496 is an abundant number, since it is smaller than the sum of its proper divisors (36259663194).

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

19203434496 is a wasteful number, since it uses less digits than its factorization.

19203434496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041881 (or 1041858 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 19203434496 in words is "nineteen billion, two hundred three million, four hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 1041853 2083706 3125559 4167412 6251118 8334824 9376677 12502236 16669648 18753354 25004472 33339296 37506708 50008944 66678592 75013416 100017888 133357184 150026832 200035776 266714368 300053664 400071552 533428736 600107328 800143104 1066857472 1200214656 1600286208 2133714944 2400429312 3200572416 4800858624 6401144832 9601717248 19203434496