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38040484608 = 283272358661
BaseRepresentation
bin100011011011011000…
…111011101100000000
310122012002212211201100
4203123120323230000
51110401331001413
625250415334400
72514451532640
oct433330735400
9118162784640
1038040484608
1115150953135
127457821400
1337831114b9
141bac250520
15ec996ea73
hex8db63bb00

38040484608 has 108 divisors (see below), whose sum is σ = 125348733328. Its totient is φ = 10868705280.

The previous prime is 38040484607. The next prime is 38040484663. The reversal of 38040484608 is 80648404083.

38040484608 is a `hidden beast` number, since 38 + 0 + 4 + 0 + 4 + 8 + 4 + 608 = 666.

It is a super-2 number, since 2×380404846082 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38040484607) 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 11 ways as a sum of consecutive naturals, for example, 1163203 + ... + 1195458.

Almost surely, 238040484608 is an apocalyptic number.

It is an amenable number.

38040484608 is an abundant number, since it is smaller than the sum of its proper divisors (87308248720).

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

38040484608 is a wasteful number, since it uses less digits than its factorization.

38040484608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358690 (or 2358673 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 38040484608 in words is "thirty-eight billion, forty million, four hundred eighty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 16128 2358661 4717322 7075983 9434644 14151966 16510627 18869288 21227949 28303932 33021254 37738576 42455898 49531881 56607864 66042508 75477152 84911796 99063762 113215728 132085016 148595643 150954304 169823592 198127524 226431456 264170032 297191286 301908608 339647184 396255048 452862912 528340064 594382572 603817216 679294368 792510096 905725824 1056680128 1188765144 1358588736 1585020192 1811451648 2113360256 2377530288 2717177472 3170040384 4226720512 4755060576 5434354944 6340080768 9510121152 12680161536 19020242304 38040484608