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38138481836 = 227213177112401
BaseRepresentation
bin100011100001001110…
…110000110010101100
310122102221021121122022
4203201032300302230
51111101422404321
625304240005312
72520051514100
oct434116606254
9118387247568
1038138481836
11151a11a6984
127484600838
13379a503520
141bbb27d900
15ed337adab
hex8e13b0cac

38138481836 has 144 divisors (see below), whose sum is σ = 89783733312. Its totient is φ = 13999104000.

The previous prime is 38138481833. The next prime is 38138481839. The reversal of 38138481836 is 63818483183.

It is an interprime number because it is at equal distance from previous prime (38138481833) and next prime (38138481839).

It is not an unprimeable number, because it can be changed into a prime (38138481833) 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, 3069236 + ... + 3081636.

It is an arithmetic number, because the mean of its divisors is an integer number (623498148).

Almost surely, 238138481836 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 38138481836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44891866656).

38138481836 is an abundant number, since it is smaller than the sum of its proper divisors (51645251476).

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

38138481836 is a wasteful number, since it uses less digits than its factorization.

38138481836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12520 (or 12511 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 53.

The spelling of 38138481836 in words is "thirty-eight billion, one hundred thirty-eight million, four hundred eighty-one thousand, eight hundred thirty-six".

Divisors: 1 2 4 7 13 14 17 26 28 34 49 52 68 71 91 98 119 142 182 196 221 238 284 364 442 476 497 637 833 884 923 994 1207 1274 1547 1666 1846 1988 2414 2548 3094 3332 3479 3692 4828 6188 6461 6958 8449 10829 12401 12922 13916 15691 16898 21658 24802 25844 31382 33796 43316 45227 49604 59143 62764 86807 90454 109837 118286 161213 173614 180908 210817 219674 236572 322426 347228 421634 439348 607649 644852 768859 843268 880471 1128491 1215298 1475719 1537718 1760942 2256982 2430596 2740621 2951438 3075436 3521884 4513964 5481242 5902876 6163297 7899437 10330033 10962484 11446123 12326594 14968007 15798874 19184347 20660066 22892246 24653188 29936014 31597748 38368694 41320132 43143079 45784492 59872028 76737388 80122861 86286158 104776049 134290429 160245722 172572316 194584091 209552098 268580858 320491444 389168182 419104196 537161716 560860027 733432343 778336364 1121720054 1362088637 1466864686 2243440108 2724177274 2933729372 5448354548 9534620459 19069240918 38138481836