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4157528342407 = 1123171127122921
BaseRepresentation
bin111100011111111111111…
…111111111111110000111
3112201110022022001122010021
4330133333333333332013
51021104104223424112
612501535301040011
7606241266553366
oct74377777777607
915643268048107
104157528342407
11136321a3a9900
1257190b9b6007
1324208cc7a56b
1410532289d7dd
1573230969907
hex3c7ffffff87

4157528342407 has 48 divisors (see below), whose sum is σ = 4821405990912. Its totient is φ = 3577709520000.

The previous prime is 4157528342351. The next prime is 4157528342441. The reversal of 4157528342407 is 7042438257514.

4157528342407 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4157528342407 - 211 = 4157528340359 is a prime.

It is a Duffinian number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4157528342447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33761307 + ... + 33884227.

It is an arithmetic number, because the mean of its divisors is an integer number (100445958144).

Almost surely, 24157528342407 is an apocalyptic number.

4157528342407 is a deficient number, since it is larger than the sum of its proper divisors (663877648505).

4157528342407 is a wasteful number, since it uses less digits than its factorization.

4157528342407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123172 (or 123161 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 52.

The spelling of 4157528342407 in words is "four trillion, one hundred fifty-seven billion, five hundred twenty-eight million, three hundred forty-two thousand, four hundred seven".

Divisors: 1 11 31 71 121 127 341 781 1397 2201 3751 3937 8591 9017 15367 24211 43307 99187 122921 266321 279527 476377 1091057 1352131 3074797 3810551 8727391 14873441 15610967 33822767 41916061 96001301 171720637 270549121 461076671 483939977 1056014311 1108378657 1888927007 2976040331 5323339747 12192165227 32736443641 34359738367 58556737217 134113817497 377957122037 4157528342407