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19681402800 = 2435216401169
BaseRepresentation
bin10010010101000110…
…100101111110110000
31212210122000212001110
4102111012211332300
5310301414342200
613012544433320
71264503110043
oct222506457660
955718025043
1019681402800
11838a703254
123993318840
131b18698097
14d49c70c5a
157a2cd6b50
hex4951a5fb0

19681402800 has 60 divisors (see below), whose sum is σ = 63046097480. Its totient is φ = 5248373760.

The previous prime is 19681402789. The next prime is 19681402801. The reversal of 19681402800 is 820418691.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (19681402801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8199385 + ... + 8201784.

Almost surely, 219681402800 is an apocalyptic number.

19681402800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19681402800 is an abundant number, since it is smaller than the sum of its proper divisors (43364694680).

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

19681402800 is a wasteful number, since it uses less digits than its factorization.

19681402800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16401190 (or 16401179 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 19681402800 in words is "nineteen billion, six hundred eighty-one million, four hundred two thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 16401169 32802338 49203507 65604676 82005845 98407014 131209352 164011690 196814028 246017535 262418704 328023380 393628056 410029225 492035070 656046760 787256112 820058450 984070140 1230087675 1312093520 1640116900 1968140280 2460175350 3280233800 3936280560 4920350700 6560467600 9840701400 19681402800