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38968610250 = 2353439712457
BaseRepresentation
bin100100010010101101…
…011100110111001010
310201120210022111202010
4210102231130313022
51114301431012000
625522452320350
72546451502413
oct442255346712
9121523274663
1038968610250
1115587845719
1276766130b6
1338a04a497b
141c5960c80a
1510311a4d50
hex912b5cdca

38968610250 has 128 divisors (see below), whose sum is σ = 100561773312. Its totient is φ = 10044518400.

The previous prime is 38968610231. The next prime is 38968610251. The reversal of 38968610250 is 5201686983.

It is a happy number.

38968610250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 38968610250.

It is not an unprimeable number, because it can be changed into a prime (38968610251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3122022 + ... + 3134478.

It is an arithmetic number, because the mean of its divisors is an integer number (785638854).

Almost surely, 238968610250 is an apocalyptic number.

38968610250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38968610250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50280886656).

38968610250 is an abundant number, since it is smaller than the sum of its proper divisors (61593163062).

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

38968610250 is a wasteful number, since it uses less digits than its factorization.

38968610250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12617 (or 12607 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 38968610250 in words is "thirty-eight billion, nine hundred sixty-eight million, six hundred ten thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 43 50 75 86 97 125 129 150 194 215 250 258 291 375 430 485 582 645 750 970 1075 1290 1455 2150 2425 2910 3225 4171 4850 5375 6450 7275 8342 10750 12125 12457 12513 14550 16125 20855 24250 24914 25026 32250 36375 37371 41710 62285 62565 72750 74742 104275 124570 125130 186855 208550 311425 312825 373710 521375 535651 622850 625650 934275 1042750 1071302 1208329 1557125 1564125 1606953 1868550 2416658 2678255 3114250 3128250 3213906 3624987 4671375 5356510 6041645 7249974 8034765 9342750 12083290 13391275 16069530 18124935 26782550 30208225 36249870 40173825 51958147 60416450 66956375 80347650 90624675 103916294 133912750 151041125 155874441 181249350 200869125 259790735 302082250 311748882 401738250 453123375 519581470 779372205 906246750 1298953675 1558744410 2597907350 3896861025 6494768375 7793722050 12989536750 19484305125 38968610250