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38720773168 = 24711143921841
BaseRepresentation
bin100100000011111100…
…000001110000110000
310200221111222002011221
4210003330001300300
51113300004220133
625442120314424
72540352066340
oct440374016060
9120844862157
1038720773168
111546a959a90
127607612a14
13386103b8cc
141c34736d20
15101954ba2d
hex903f01c30

38720773168 has 80 divisors (see below), whose sum is σ = 93602580480. Its totient is φ = 15074841600.

The previous prime is 38720773099. The next prime is 38720773199. The reversal of 38720773168 is 86137702783.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1761928 + ... + 1783768.

It is an arithmetic number, because the mean of its divisors is an integer number (1170032256).

Almost surely, 238720773168 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 38720773168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46801290240).

38720773168 is an abundant number, since it is smaller than the sum of its proper divisors (54881807312).

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

38720773168 is a wasteful number, since it uses less digits than its factorization.

38720773168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23306 (or 23300 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 52.

The spelling of 38720773168 in words is "thirty-eight billion, seven hundred twenty million, seven hundred seventy-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 1439 2878 5756 10073 11512 15829 20146 21841 23024 31658 40292 43682 63316 80584 87364 110803 126632 152887 161168 174728 221606 240251 253264 305774 349456 443212 480502 611548 886424 961004 1223096 1681757 1772848 1922008 2446192 3363514 3844016 6727028 13454056 26908112 31429199 62858398 125716796 220004393 251433592 345721189 440008786 502867184 691442378 880017572 1382884756 1760035144 2420048323 2765769512 3520070288 4840096646 5531539024 9680193292 19360386584 38720773168