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19880974944 = 2532491140593
BaseRepresentation
bin10010100000111111…
…111001101001100000
31220022112120011120100
4102200333321221200
5311204012144234
613044434142400
71302445333035
oct224077715140
956275504510
1019880974944
118482323806
123a2a121a00
131b4ab326cc
14d6858138c
157b55a9399
hex4a0ff9a60

19880974944 has 72 divisors (see below), whose sum is σ = 56652071112. Its totient is φ = 6613447680.

The previous prime is 19880974933. The next prime is 19880975011. The reversal of 19880974944 is 44947908891.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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, 71112 + ... + 211704.

It is an arithmetic number, because the mean of its divisors is an integer number (786834321).

Almost surely, 219880974944 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 19880974944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28326035556).

19880974944 is an abundant number, since it is smaller than the sum of its proper divisors (36771096168).

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

19880974944 is a wasteful number, since it uses less digits than its factorization.

19880974944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141100 (or 141089 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 19880974944 in words is "nineteen billion, eight hundred eighty million, nine hundred seventy-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 491 982 1473 1964 2946 3928 4419 5892 7856 8838 11784 15712 17676 23568 35352 47136 70704 140593 141408 281186 421779 562372 843558 1124744 1265337 1687116 2249488 2530674 3374232 4498976 5061348 6748464 10122696 13496928 20245392 40490784 69031163 138062326 207093489 276124652 414186978 552249304 621280467 828373956 1104498608 1242560934 1656747912 2208997216 2485121868 3313495824 4970243736 6626991648 9940487472 19880974944