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19291293696 = 211329108271
BaseRepresentation
bin10001111101110110…
…011100100000000000
31211210102222020222010
4101331312130200000
5304002032344241
612510131212520
71252025201523
oct217566344000
954712866863
1019291293696
1181aa483534
1238a4747140
131a8590a7ac
14d10122bba
1577d928d16
hex47dd9c800

19291293696 has 96 divisors (see below), whose sum is σ = 53204860800. Its totient is φ = 6208634880.

The previous prime is 19291293683. The next prime is 19291293713. The reversal of 19291293696 is 69639219291.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124041 + ... + 232311.

It is an arithmetic number, because the mean of its divisors is an integer number (554217300).

Almost surely, 219291293696 is an apocalyptic number.

19291293696 is a gapful number since it is divisible by the number (16) 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 19291293696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26602430400).

19291293696 is an abundant number, since it is smaller than the sum of its proper divisors (33913567104).

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

19291293696 is a wasteful number, since it uses less digits than its factorization.

19291293696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108325 (or 108305 counting only the distinct ones).

The product of its digits is 2834352, while the sum is 57.

The spelling of 19291293696 in words is "nineteen billion, two hundred ninety-one million, two hundred ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1024 1392 1536 1856 2048 2784 3072 3712 5568 6144 7424 11136 14848 22272 29696 44544 59392 89088 108271 178176 216542 324813 433084 649626 866168 1299252 1732336 2598504 3139859 3464672 5197008 6279718 6929344 9419577 10394016 12559436 13858688 18839154 20788032 25118872 27717376 37678308 41576064 50237744 55434752 75356616 83152128 100475488 110869504 150713232 166304256 200950976 221739008 301426464 332608512 401901952 602852928 665217024 803803904 1205705856 1607607808 2411411712 3215215616 4822823424 6430431232 9645646848 19291293696