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19906429438900 = 22521799571106177
BaseRepresentation
bin1001000011010110100111…
…01001111100101110110100
32121111000222021221111111201
410201223103221330232310
510102121331414021100
6110200515404142244
74123122610254124
oct441532351745664
977430867844451
1019906429438900
1163852a6505604
122295bbab37984
13b1522581b114
144cb695074c84
15247c2a31036a
hex121ad3a7cbb4

19906429438900 has 36 divisors (see below), whose sum is σ = 43197230973708. Its totient is φ = 7962520330240.

The previous prime is 19906429438897. The next prime is 19906429438991. The reversal of 19906429438900 is 983492460991.

It can be written as a sum of positive squares in 6 ways, for example, as 1732723876 + 19904696715024 = 41626^2 + 4461468^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17442612 + ... + 18548788.

It is an arithmetic number, because the mean of its divisors is an integer number (1199923082603).

Almost surely, 219906429438900 is an apocalyptic number.

19906429438900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19906429438900 is an abundant number, since it is smaller than the sum of its proper divisors (23290801534808).

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

19906429438900 is a wasteful number, since it uses less digits than its factorization.

19906429438900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286148 (or 1286141 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 64.

The spelling of 19906429438900 in words is "nineteen trillion, nine hundred six billion, four hundred twenty-nine million, four hundred thirty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 179957 359914 719828 899785 1106177 1799570 2212354 3599140 4424708 4498925 5530885 8997850 11061770 17995700 22123540 27654425 55308850 110617700 199064294389 398128588778 796257177556 995321471945 1990642943890 3981285887780 4976607359725 9953214719450 19906429438900