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38405007454125 = 3531318193746451
BaseRepresentation
bin10001011101101110111001…
…10100111010111110101101
312000222111001000001120001010
420232313130310322332231
520013211423402013000
6213403003350335433
711042445613101204
oct1056673464727655
9160874030046033
1038405007454125
1111267521545024
12438319335a579
131857765c10140
1496ab52c7023b
15469008062d50
hex22eddcd3afad

38405007454125 has 128 divisors (see below), whose sum is σ = 69277350385152. Its totient is φ = 18782150400000.

The previous prime is 38405007454097. The next prime is 38405007454127. The reversal of 38405007454125 is 52145470050483.

It is not a de Polignac number, because 38405007454125 - 227 = 38404873236397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38405007454127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 826762150 + ... + 826808600.

It is an arithmetic number, because the mean of its divisors is an integer number (541229299884).

Almost surely, 238405007454125 is an apocalyptic number.

It is an amenable number.

38405007454125 is a deficient number, since it is larger than the sum of its proper divisors (30872342931027).

38405007454125 is a wasteful number, since it uses less digits than its factorization.

38405007454125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47600 (or 47590 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 48.

The spelling of 38405007454125 in words is "thirty-eight trillion, four hundred five billion, seven million, four hundred fifty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 65 75 125 181 195 325 375 543 905 937 975 1625 2353 2715 2811 4525 4685 4875 7059 11765 12181 13575 14055 22625 23425 35295 36543 46451 58825 60905 67875 70275 117125 139353 169597 176475 182715 232255 294125 304525 351375 508791 603863 696765 847985 882375 913575 1161275 1522625 1811589 2204761 2543955 3019315 3483825 4239925 4567875 5806375 6614283 8407631 9057945 11023805 12719775 15096575 17419125 21199625 25222893 33071415 42038155 43524587 45289725 55119025 63598875 75482875 109299203 126114465 130573761 165357075 210190775 217622935 226448625 275595125 327897609 546496015 565819631 630572325 652868805 826785375 1050953875 1088114675 1639488045 1697458893 2732480075 2829098155 3152861625 3264344025 5440573375 7877950247 8197440225 8487294465 13662400375 14145490775 16321720125 23633850741 39389751235 40987201125 42436472325 70727453875 102413353211 118169253705 196948756175 212182361625 307240059633 512066766055 590846268525 984743780875 1536200298165 2560333830275 2954231342625 7681001490825 12801669151375 38405007454125