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17853512107157 = 243728109260629
BaseRepresentation
bin1000000111100110110000…
…01111110100010010010101
32100012210000221210200002222
410003303120033310102111
54320002443044412112
6101545442405112125
73521605446665666
oct403633017642225
970183027720088
1017853512107157
1157636a5165201
1220041690b8645
139c676acb853c
1445a18664b36d
1520e6267c8372
hex103cd83f4495

17853512107157 has 8 divisors (see below), whose sum is σ = 17861542073400. Its totient is φ = 17845482723264.

The previous prime is 17853512107147. The next prime is 17853512107181. The reversal of 17853512107157 is 75170121535871.

It can be written as a sum of positive squares in 4 ways, for example, as 6504739092721 + 11348773014436 = 2550439^2 + 3368794^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 17853512107157 - 24 = 17853512107141 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 17853512107099 and 17853512107108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17853512107127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68371319 + ... + 68631947.

It is an arithmetic number, because the mean of its divisors is an integer number (2232692759175).

Almost surely, 217853512107157 is an apocalyptic number.

It is an amenable number.

17853512107157 is a deficient number, since it is larger than the sum of its proper divisors (8029966243).

17853512107157 is a wasteful number, since it uses less digits than its factorization.

17853512107157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291175.

The product of its (nonzero) digits is 2058000, while the sum is 53.

The spelling of 17853512107157 in words is "seventeen trillion, eight hundred fifty-three billion, five hundred twelve million, one hundred seven thousand, one hundred fifty-seven".

Divisors: 1 2437 28109 260629 68501633 635152873 7326020561 17853512107157