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38980208502 = 2342310499973
BaseRepresentation
bin100100010011011001…
…101100011101110110
310201121121010202120000
4210103121230131312
51114312413133002
625523545052130
72546652206514
oct442331543566
9121547122500
1038980208502
1115593347654
12767a487046
1338a2a05b41
141c5ad8b4b4
1510321e661c
hex91366c776

38980208502 has 80 divisors (see below), whose sum is σ = 91238162400. Its totient is φ = 12415379328.

The previous prime is 38980208473. The next prime is 38980208503. The reversal of 38980208502 is 20580208983.

38980208502 is a `hidden beast` number, since 38 + 98 + 0 + 20 + 8 + 502 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38980208503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3903588 + ... + 3913560.

It is an arithmetic number, because the mean of its divisors is an integer number (1140477030).

Almost surely, 238980208502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38980208502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45619081200).

38980208502 is an abundant number, since it is smaller than the sum of its proper divisors (52257953898).

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

38980208502 is a wasteful number, since it uses less digits than its factorization.

38980208502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11059 (or 11050 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 38980208502 in words is "thirty-eight billion, nine hundred eighty million, two hundred eight thousand, five hundred two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 414 621 1049 1242 1863 2098 3147 3726 6294 9441 9973 18882 19946 24127 28323 29919 48254 56646 59838 72381 84969 89757 144762 169938 179514 217143 229379 269271 434286 458758 538542 651429 688137 807813 1302858 1376274 1615626 1954287 2064411 3908574 4128822 6193233 10461677 12386466 18579699 20923354 31385031 37159398 62770062 94155093 188310186 240618571 282465279 481237142 564930558 721855713 847395837 1443711426 1694791674 2165567139 4331134278 6496701417 12993402834 19490104251 38980208502