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38980208440 = 2357988713907
BaseRepresentation
bin100100010011011001…
…101100011100111000
310201121121010202110201
4210103121230130320
51114312413132230
625523545051544
72546652206365
oct442331543470
9121547122421
1038980208440
11155933475a8
12767a486bb4
1338a2a05ac4
141c5ad8b46c
1510321e65ca
hex91366c738

38980208440 has 64 divisors (see below), whose sum is σ = 88922188800. Its totient is φ = 15376253568.

The previous prime is 38980208417. The next prime is 38980208447. The reversal of 38980208440 is 4480208983.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38980208447) 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 15 ways as a sum of consecutive naturals, for example, 2795967 + ... + 2809873.

It is an arithmetic number, because the mean of its divisors is an integer number (1389409200).

Almost surely, 238980208440 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 38980208440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44461094400).

38980208440 is an abundant number, since it is smaller than the sum of its proper divisors (49941980360).

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

38980208440 is a wasteful number, since it uses less digits than its factorization.

38980208440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14884 (or 14880 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 46.

The spelling of 38980208440 in words is "thirty-eight billion, nine hundred eighty million, two hundred eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 632 790 887 1580 1774 3160 3548 4435 7096 8870 13907 17740 27814 35480 55628 69535 70073 111256 139070 140146 278140 280292 350365 556280 560584 700730 1098653 1401460 2197306 2802920 4394612 5493265 8789224 10986530 12335509 21973060 24671018 43946120 49342036 61677545 98684072 123355090 246710180 493420360 974505211 1949010422 3898020844 4872526055 7796041688 9745052110 19490104220 38980208440