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38140562070 = 23351318795783
BaseRepresentation
bin100011100001010110…
…101100101010010110
310122110002012022012000
4203201112230222112
51111102440441240
625304352340130
72520105266652
oct434126545226
9118402168160
1038140562070
11151a2397886
127485244646
13379aa81330
141bbb661a62
15ed363c430
hex8e15aca96

38140562070 has 128 divisors (see below), whose sum is σ = 109609113600. Its totient is φ = 9381826944.

The previous prime is 38140562063. The next prime is 38140562071. The reversal of 38140562070 is 7026504183.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38140562071) 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 63 ways as a sum of consecutive naturals, for example, 6592399 + ... + 6598181.

It is an arithmetic number, because the mean of its divisors is an integer number (856321200).

Almost surely, 238140562070 is an apocalyptic number.

38140562070 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 38140562070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54804556800).

38140562070 is an abundant number, since it is smaller than the sum of its proper divisors (71468551530).

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

38140562070 is a wasteful number, since it uses less digits than its factorization.

38140562070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7691 (or 7685 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 38140562070 in words is "thirty-eight billion, one hundred forty million, five hundred sixty-two thousand, seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 1879 3510 3758 5637 5783 9395 11274 11566 16911 17349 18790 24427 28185 28915 33822 34698 48854 50733 52047 56370 57830 73281 75179 84555 86745 101466 104094 122135 146562 150358 156141 169110 173490 219843 225537 244270 253665 260235 312282 366405 375895 439686 451074 507330 520470 659529 676611 732810 751790 780705 1099215 1127685 1319058 1353222 1561410 2029833 2198430 2255370 3297645 3383055 4059666 6595290 6766110 10149165 10866257 20298330 21732514 32598771 54331285 65197542 97796313 108662570 141261341 162993855 195592626 282522682 293388939 325987710 423784023 488981565 586777878 706306705 847568046 977963130 1271352069 1412613410 1466944695 2118920115 2542704138 2933889390 3814056207 4237840230 6356760345 7628112414 12713520690 19070281035 38140562070