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38369248764 = 22371180951329
BaseRepresentation
bin100011101110111111…
…000100010111111100
310200001000111210100120
4203232333010113330
51112040011430024
625343202054540
72525553143010
oct435677042774
9120030453316
1038369248764
11152aa493550
12752994a450
1338062708c2
141bddb90540
15ee8761479
hex8eefc45fc

38369248764 has 96 divisors (see below), whose sum is σ = 111759782400. Its totient is φ = 9953525760.

The previous prime is 38369248759. The next prime is 38369248843. The reversal of 38369248764 is 46784296383.

It is a junction number, because it is equal to n+sod(n) for n = 38369248698 and 38369248707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 721852 + ... + 773180.

It is an arithmetic number, because the mean of its divisors is an integer number (1164164400).

Almost surely, 238369248764 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 38369248764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55879891200).

38369248764 is an abundant number, since it is smaller than the sum of its proper divisors (73390533636).

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

38369248764 is a wasteful number, since it uses less digits than its factorization.

38369248764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52163 (or 52161 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 60.

The spelling of 38369248764 in words is "thirty-eight billion, three hundred sixty-nine million, two hundred forty-eight thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 809 924 1618 2427 3236 4854 5663 8899 9708 11326 16989 17798 22652 26697 33978 35596 51329 53394 62293 67956 102658 106788 124586 153987 186879 205316 249172 307974 359303 373758 564619 615948 718606 747516 1077909 1129238 1437212 1693857 2155818 2258476 3387714 3952333 4311636 6775428 7904666 11856999 15809332 23713998 41525161 47427996 83050322 124575483 166100644 249150966 290676127 456776771 498301932 581352254 872028381 913553542 1162704508 1370330313 1744056762 1827107084 2740660626 3197437397 3488113524 5481321252 6394874794 9592312191 12789749588 19184624382 38369248764