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9019111940 = 2252941379273
BaseRepresentation
bin10000110011001010…
…01011101000000100
3212021120001100122222
420121211023220010
5121432343040230
64050542511512
7436334120666
oct103145135004
925246040588
109019111940
113909065323
1218b8595598
13b09712437
14617b8c536
1537bc046e5
hex21994ba04

9019111940 has 48 divisors (see below), whose sum is σ = 20071180080. Its totient is φ = 3398277120.

The previous prime is 9019111939. The next prime is 9019111943. The reversal of 9019111940 is 491119109.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1988624836 + 7030487104 = 44594^2 + 83848^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9019111940.

It is not an unprimeable number, because it can be changed into a prime (9019111943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165857 + ... + 213416.

It is an arithmetic number, because the mean of its divisors is an integer number (418149585).

Almost surely, 29019111940 is an apocalyptic number.

It is an amenable number.

9019111940 is an abundant number, since it is smaller than the sum of its proper divisors (11052068140).

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

9019111940 is a wasteful number, since it uses less digits than its factorization.

9019111940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379352 (or 379350 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 35.

The square root of 9019111940 is about 94969.0051543134. The cubic root of 9019111940 is about 2081.5551686152. Note that the first 3 decimals are identical.

The spelling of 9019111940 in words is "nine billion, nineteen million, one hundred eleven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 29 41 58 82 116 145 164 205 290 410 580 820 1189 2378 4756 5945 11890 23780 379273 758546 1517092 1896365 3792730 7585460 10998917 15550193 21997834 31100386 43995668 54994585 62200772 77750965 109989170 155501930 219978340 311003860 450955597 901911194 1803822388 2254777985 4509555970 9019111940