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38706621048 = 23324130834253
BaseRepresentation
bin100100000011000110…
…000010101001111000
310200220112100002010100
4210003012002221320
51113232343333143
625440453115400
72540120564454
oct440306025170
9120815302110
1038706621048
1115462973317
127602928b60
13385b125184
141c328d1664
1510181a36d3
hex903182a78

38706621048 has 96 divisors (see below), whose sum is σ = 107447361840. Its totient is φ = 12580477440.

The previous prime is 38706621047. The next prime is 38706621053. The reversal of 38706621048 is 84012660783.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 38706620994 and 38706621012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38706621043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9098890 + ... + 9103142.

Almost surely, 238706621048 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 38706621048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53723680920).

38706621048 is an abundant number, since it is smaller than the sum of its proper divisors (68740740792).

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

38706621048 is a wasteful number, since it uses less digits than its factorization.

38706621048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7389 (or 7382 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 38706621048 in words is "thirty-eight billion, seven hundred six million, six hundred twenty-one thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 3083 4253 6166 8506 9249 12332 12759 17012 18498 24664 25518 27747 34024 36996 38277 51036 55494 73992 76554 102072 110988 126403 153108 174373 221976 252806 306216 348746 379209 505612 523119 697492 758418 1011224 1046238 1137627 1394984 1516836 1569357 2092476 2275254 3033672 3138714 4184952 4550508 6277428 9101016 12554856 13111999 26223998 39335997 52447996 78671994 104895992 118007991 157343988 236015982 314687976 472031964 537591959 944063928 1075183918 1612775877 2150367836 3225551754 4300735672 4838327631 6451103508 9676655262 12902207016 19353310524 38706621048