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38421126270 = 23253159233407
BaseRepresentation
bin100011110010000100…
…111101110001111110
310200011122010102220200
4203302010331301332
51112141302020040
625352254024330
72530053120252
oct436204756176
9120148112820
1038421126270
11153267a691a
1275431a80a6
133813c35757
141c06a16262
15eed0ac630
hex8f213dc7e

38421126270 has 96 divisors (see below), whose sum is σ = 104865546240. Its totient is φ = 9747034560.

The previous prime is 38421126259. The next prime is 38421126277. The reversal of 38421126270 is 7262112483.

It is a happy number.

38421126270 is a `hidden beast` number, since 3 + 8 + 4 + 21 + 1 + 2 + 627 + 0 = 666.

It is a super-2 number, since 2×384211262702 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38421126277) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47907 + ... + 281313.

It is an arithmetic number, because the mean of its divisors is an integer number (1092349440).

Almost surely, 238421126270 is an apocalyptic number.

38421126270 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 38421126270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52432773120).

38421126270 is an abundant number, since it is smaller than the sum of its proper divisors (66444419970).

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

38421126270 is a wasteful number, since it uses less digits than its factorization.

38421126270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233510 (or 233507 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 38421126270 in words is "thirty-eight billion, four hundred twenty-one million, one hundred twenty-six thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 59 62 90 93 118 155 177 186 279 295 310 354 465 531 558 590 885 930 1062 1395 1770 1829 2655 2790 3658 5310 5487 9145 10974 16461 18290 27435 32922 54870 82305 164610 233407 466814 700221 1167035 1400442 2100663 2334070 3501105 4201326 7002210 7235617 10503315 13771013 14471234 21006630 21706851 27542026 36178085 41313039 43413702 65120553 68855065 72356170 82626078 108534255 123939117 130241106 137710130 206565195 217068510 247878234 325602765 413130390 426901403 619695585 651205530 853802806 1239391170 1280704209 2134507015 2561408418 3842112627 4269014030 6403521045 7684225254 12807042090 19210563135 38421126270