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153264460540441 = 9710115644019653
BaseRepresentation
bin100010110110010010101001…
…101110100010101000011001
3202002122221100202220111021211
4202312102221232202220121
5130042041103344243231
61301544415434503121
744165664131415325
oct4266225156425031
9662587322814254
10153264460540441
1144920102419258
1215233819894aa1
136769a132b40b3
1429bc07a440985
1512abb61241eb1
hex8b64a9ba2a19

153264460540441 has 8 divisors (see below), whose sum is σ = 156377620461384. Its totient is φ = 150182588659200.

The previous prime is 153264460540417. The next prime is 153264460540483. The reversal of 153264460540441 is 144045064462351.

It can be written as a sum of positive squares in 4 ways, for example, as 86073323660041 + 67191136880400 = 9277571^2 + 8197020^2 .

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 153264460540441 - 29 = 153264460539929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (153264460540141) 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, 7822000030 + ... + 7822019623.

It is an arithmetic number, because the mean of its divisors is an integer number (19547202557673).

Almost surely, 2153264460540441 is an apocalyptic number.

It is an amenable number.

153264460540441 is a deficient number, since it is larger than the sum of its proper divisors (3113159920943).

153264460540441 is a wasteful number, since it uses less digits than its factorization.

153264460540441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15644019851.

The product of its (nonzero) digits is 5529600, while the sum is 49.

The spelling of 153264460540441 in words is "one hundred fifty-three trillion, two hundred sixty-four billion, four hundred sixty million, five hundred forty thousand, four hundred forty-one".

Divisors: 1 97 101 9797 15644019653 1517469906341 1580045984953 153264460540441