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157206535753 = 1132417575593
BaseRepresentation
bin1001001001101000111…
…1010101111001001001
3120000202222211110110011
42102122033111321021
510033424333121003
6200115241351521
714233503335401
oct2223217257111
9500688743404
10157206535753
1160741a9a123
12265741985a1
1311a945ba4b7
147874911801
1541515e446d
hex249a3d5e49

157206535753 has 8 divisors (see below), whose sum is σ = 158663637288. Its totient is φ = 155750590464.

The previous prime is 157206535711. The next prime is 157206535789. The reversal of 157206535753 is 357535602751.

157206535753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 28219968144 + 128986567609 = 167988^2 + 359147^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-157206535753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 157206535697 and 157206535706.

It is not an unprimeable number, because it can be changed into a prime (157206535793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14676 + ... + 560917.

It is an arithmetic number, because the mean of its divisors is an integer number (19832954661).

Almost surely, 2157206535753 is an apocalyptic number.

It is an amenable number.

157206535753 is a deficient number, since it is larger than the sum of its proper divisors (1457101535).

157206535753 is a wasteful number, since it uses less digits than its factorization.

157206535753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578123.

The product of its (nonzero) digits is 3307500, while the sum is 49.

The spelling of 157206535753 in words is "one hundred fifty-seven billion, two hundred six million, five hundred thirty-five thousand, seven hundred fifty-three".

Divisors: 1 113 2417 273121 575593 65042009 1391208281 157206535753