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157007489761 is a prime number
BaseRepresentation
bin1001001000111001100…
…0000010101011100001
3120000021010021212200101
42102032120002223201
510033022404133021
6200043411222401
714225535433363
oct2221630025341
9500233255611
10157007489761
116064a6a8a01
12265195a7a01
1311a622a84c5
1478562dad33
15413ddc7a91
hex248e602ae1

157007489761 has 2 divisors, whose sum is σ = 157007489762. Its totient is φ = 157007489760.

The previous prime is 157007489711. The next prime is 157007489819. The reversal of 157007489761 is 167984700751.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 138253830625 + 18753659136 = 371825^2 + 136944^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-157007489761 is a prime.

It is not a weakly prime, because it can be changed into another prime (157007489711) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 78503744880 + 78503744881.

It is an arithmetic number, because the mean of its divisors is an integer number (78503744881).

Almost surely, 2157007489761 is an apocalyptic number.

It is an amenable number.

157007489761 is a deficient number, since it is larger than the sum of its proper divisors (1).

157007489761 is an equidigital number, since it uses as much as digits as its factorization.

157007489761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2963520, while the sum is 55.

The spelling of 157007489761 in words is "one hundred fifty-seven billion, seven million, four hundred eighty-nine thousand, seven hundred sixty-one".