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153630289849 = 137228612
BaseRepresentation
bin1000111100010100010…
…1000010111110111001
3112200112202111100100011
42033011011002332321
510004113323233344
6154324330141521
714046046626451
oct2170505027671
9480482440304
10153630289849
115a1773256a3
12259365818a1
131164470646a
147615986d61
153ee2675d34
hex23c5142fb9

153630289849 has 9 divisors (see below), whose sum is σ = 154813975981. Its totient is φ = 152455594720.

The previous prime is 153630289843. The next prime is 153630289873. The reversal of 153630289849 is 948982036351.

The square root of 153630289849 is 391957.

It is a perfect power (a square), and thus also a powerful number.

153630289849 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 3294186025 + 150336103824 = 57395^2 + 387732^2 .

It is not a de Polignac number, because 153630289849 - 213 = 153630281657 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 153630289793 and 153630289802.

It is not an unprimeable number, because it can be changed into a prime (153630289843) 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 8 ways as a sum of consecutive naturals, for example, 53696679 + ... + 53699539.

Almost surely, 2153630289849 is an apocalyptic number.

153630289849 is the 391957-th square number.

153630289849 is the 195979-th centered octagonal number.

It is an amenable number.

153630289849 is a deficient number, since it is larger than the sum of its proper divisors (1183686132).

153630289849 is an frugal number, since it uses more digits than its factorization.

153630289849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5996 (or 2998 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 58.

The spelling of 153630289849 in words is "one hundred fifty-three billion, six hundred thirty million, two hundred eighty-nine thousand, eight hundred forty-nine".

Divisors: 1 137 2861 18769 391957 8185321 53698109 1121388977 153630289849