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38982081280 = 28546365777
BaseRepresentation
bin100100010011100000…
…110101101100000000
310201121201122220112011
4210103200311230000
51114313403100110
625524053142304
72550004136512
oct442340655400
9121551586464
1038982081280
11155944066aa
12767b02a994
1338a32103ac
141c5b317bb2
15103246648a
hex913835b00

38982081280 has 72 divisors (see below), whose sum is σ = 93577361472. Its totient is φ = 15558918144.

The previous prime is 38982081199. The next prime is 38982081317. The reversal of 38982081280 is 8218028983.

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 7 ways as a sum of consecutive naturals, for example, 559752 + ... + 625528.

It is an arithmetic number, because the mean of its divisors is an integer number (1299685576).

Almost surely, 238982081280 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 38982081280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46788680736).

38982081280 is an abundant number, since it is smaller than the sum of its proper divisors (54595280192).

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

38982081280 is an equidigital number, since it uses as much as digits as its factorization.

38982081280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66261 (or 66247 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 49.

The spelling of 38982081280 in words is "thirty-eight billion, nine hundred eighty-two million, eighty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 463 640 926 1280 1852 2315 3704 4630 7408 9260 14816 18520 29632 37040 59264 65777 74080 118528 131554 148160 263108 296320 328885 526216 592640 657770 1052432 1315540 2104864 2631080 4209728 5262160 8419456 10524320 16838912 21048640 30454751 42097280 60909502 84194560 121819004 152273755 243638008 304547510 487276016 609095020 974552032 1218190040 1949104064 2436380080 3898208128 4872760160 7796416256 9745520320 19491040640 38982081280