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4157103707953 = 737101464934183
BaseRepresentation
bin111100011111100110101…
…100001001011100110001
3112201102012201000222011021
4330133212230021130301
51021102222022123303
612501425211415441
7606224622331150
oct74374654113461
915642181028137
104157103707953
111363021738739
12571811754581
13242022cc2281
141052c2325597
157320853bebd
hex3c7e6b09731

4157103707953 has 32 divisors (see below), whose sum is σ = 4928895244800. Its totient is φ = 3431763417600.

The previous prime is 4157103707903. The next prime is 4157103707987. The reversal of 4157103707953 is 3597073017514.

4157103707953 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 4157103707953 - 233 = 4148513773361 is a prime.

It is a super-2 number, since 2×41571037079532 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4157103707953.

It is not an unprimeable number, because it can be changed into a prime (4157103707903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121596100 + ... + 121630282.

It is an arithmetic number, because the mean of its divisors is an integer number (154027976400).

Almost surely, 24157103707953 is an apocalyptic number.

It is an amenable number.

4157103707953 is a deficient number, since it is larger than the sum of its proper divisors (771791536847).

4157103707953 is a wasteful number, since it uses less digits than its factorization.

4157103707953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38977.

The product of its (nonzero) digits is 2778300, while the sum is 52.

The spelling of 4157103707953 in words is "four trillion, one hundred fifty-seven billion, one hundred three million, seven hundred seven thousand, nine hundred fifty-three".

Divisors: 1 7 37 101 259 707 3737 4649 26159 32543 34183 172013 239281 469549 1204091 1264771 3286843 3452483 8853397 17373313 24167381 121613191 127741871 158916767 894193097 1112417369 5879920379 16050593467 41159442653 112354154269 593871958279 4157103707953