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157347242801761 = 5091194292588401
BaseRepresentation
bin100011110001101101000010…
…100000110111101001100001
3202122010020201220000210020111
4203301231002200313221201
5131110434123124124021
61314352154144011321
745066651234141205
oct4361550240675141
9678106656023214
10157347242801761
1146154655589021
1215792b49300b41
1369a4a207707bc
142abd90bc42b05
15132ce69a9e8e1
hex8f1b42837a61

157347242801761 has 8 divisors (see below), whose sum is σ = 157657753938600. Its totient is φ = 157036737081600.

The previous prime is 157347242801729. The next prime is 157347242801779. The reversal of 157347242801761 is 167108242743751.

It can be written as a sum of positive squares in 4 ways, for example, as 56709107997025 + 100638134804736 = 7530545^2 + 10031856^2 .

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 157347242801761 - 25 = 157347242801729 is a prime.

It is a super-2 number, since 2×1573472428017612 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 157347242801696 and 157347242801705.

It is not an unprimeable number, because it can be changed into a prime (157347242801261) 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, 59495161 + ... + 62083561.

It is an arithmetic number, because the mean of its divisors is an integer number (19707219242325).

Almost surely, 2157347242801761 is an apocalyptic number.

It is an amenable number.

157347242801761 is a deficient number, since it is larger than the sum of its proper divisors (310511136839).

157347242801761 is a wasteful number, since it uses less digits than its factorization.

157347242801761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2708339.

The product of its (nonzero) digits is 15805440, while the sum is 58.

The spelling of 157347242801761 in words is "one hundred fifty-seven trillion, three hundred forty-seven billion, two hundred forty-two million, eight hundred one thousand, seven hundred sixty-one".

Divisors: 1 509 119429 2588401 60789361 1317496109 309130143029 157347242801761