Search a number
-
+
38797113168 = 24321143955793
BaseRepresentation
bin100100001000011111…
…001111011101010000
310201010211121112222100
4210020133033131100
51113424030110133
625453444440400
72542300010052
oct441037173520
9121124545870
1038797113168
11154a9a603a0
1276290a9100
133873aba0c8
141c409298d2
1510210cae13
hex9087cf750

38797113168 has 120 divisors (see below), whose sum is σ = 118720704960. Its totient is φ = 11729710080.

The previous prime is 38797113167. The next prime is 38797113169. The reversal of 38797113168 is 86131179783.

38797113168 is a `hidden beast` number, since 387 + 9 + 71 + 131 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (38797113167) and next prime (38797113169).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38797113163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 667480 + ... + 723272.

It is an arithmetic number, because the mean of its divisors is an integer number (989339208).

Almost surely, 238797113168 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 38797113168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59360352480).

38797113168 is an abundant number, since it is smaller than the sum of its proper divisors (79923591792).

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

38797113168 is a wasteful number, since it uses less digits than its factorization.

38797113168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56257 (or 56248 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The spelling of 38797113168 in words is "thirty-eight billion, seven hundred ninety-seven million, one hundred thirteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 439 528 792 878 1317 1584 1756 2634 3512 3951 4829 5268 7024 7902 9658 10536 14487 15804 19316 21072 28974 31608 38632 43461 55793 57948 63216 77264 86922 111586 115896 167379 173844 223172 231792 334758 347688 446344 502137 613723 669516 695376 892688 1004274 1227446 1339032 1841169 2008548 2454892 2678064 3682338 4017096 4909784 5523507 7364676 8034192 9819568 11047014 14729352 22094028 24493127 29458704 44188056 48986254 73479381 88376112 97972508 146958762 195945016 220438143 269424397 293917524 391890032 440876286 538848794 587835048 808273191 881752572 1077697588 1175670096 1616546382 1763505144 2155395176 2424819573 3233092764 3527010288 4310790352 4849639146 6466185528 9699278292 12932371056 19398556584 38797113168