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38120038356 = 223233261089
BaseRepresentation
bin100011100000001000…
…011001111111010100
310122101122120120221110
4203200020121333110
51111032212211411
625302340415020
72516435660031
oct434010317724
9118348516843
1038120038356
111519184a034
12747a3a7470
13379674671a
141bb8a3c388
15ed19362a6
hex8e0219fd4

38120038356 has 48 divisors (see below), whose sum is σ = 92989814400. Its totient is φ = 12154168576.

The previous prime is 38120038351. The next prime is 38120038357. The reversal of 38120038356 is 65383002183.

It is a super-2 number, since 2×381200383562 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38120038351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15460 + ... + 276548.

It is an arithmetic number, because the mean of its divisors is an integer number (1937287800).

Almost surely, 238120038356 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 38120038356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46494907200).

38120038356 is an abundant number, since it is smaller than the sum of its proper divisors (54869776044).

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

38120038356 is a wasteful number, since it uses less digits than its factorization.

38120038356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261165 (or 261117 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 38120038356 in words is "thirty-eight billion, one hundred twenty million, thirty-eight thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 529 1058 1587 2116 3174 6348 12167 24334 36501 48668 73002 146004 261089 522178 783267 1044356 1566534 3133068 6005047 12010094 18015141 24020188 36030282 72060564 138116081 276232162 414348243 552464324 828696486 1657392972 3176669863 6353339726 9530009589 12706679452 19060019178 38120038356