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38278611168 = 253785766467
BaseRepresentation
bin100011101001100101…
…010100000011100000
310122210200221220221120
4203221211110003200
51111343311024133
625330203252240
72523402553320
oct435145240340
9118720856846
1038278611168
1115263307146
12750351a080
1337c05576a5
141bd1b19280
15ee080aab3
hex8e99540e0

38278611168 has 96 divisors (see below), whose sum is σ = 114971560704. Its totient is φ = 10923820032.

The previous prime is 38278611157. The next prime is 38278611211. The reversal of 38278611168 is 86111687283.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 38278611168.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 542671 + ... + 609137.

It is an arithmetic number, because the mean of its divisors is an integer number (1197620424).

Almost surely, 238278611168 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 38278611168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57485780352).

38278611168 is an abundant number, since it is smaller than the sum of its proper divisors (76692949536).

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

38278611168 is a wasteful number, since it uses less digits than its factorization.

38278611168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67344 (or 67336 counting only the distinct ones).

The product of its digits is 774144, while the sum is 51.

The spelling of 38278611168 in words is "thirty-eight billion, two hundred seventy-eight million, six hundred eleven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 857 1714 2571 3428 5142 5999 6856 10284 11998 13712 17997 20568 23996 27424 35994 41136 47992 66467 71988 82272 95984 132934 143976 191968 199401 265868 287952 398802 465269 531736 575904 797604 930538 1063472 1395807 1595208 1861076 2126944 2791614 3190416 3722152 5583228 6380832 7444304 11166456 14888608 22332912 44665824 56962219 113924438 170886657 227848876 341773314 398735533 455697752 683546628 797471066 911395504 1196206599 1367093256 1594942132 1822791008 2392413198 2734186512 3189884264 4784826396 5468373024 6379768528 9569652792 12759537056 19139305584 38278611168