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155014650961 = 47283772
BaseRepresentation
bin1001000001011110010…
…1111101110001010001
3112211010020102011202221
42100113211331301101
510014432222312321
6155113541541041
714125256535622
oct2202745756121
9484106364687
10155014650961
115a817802695
1226062114781
131180546a851
147707787a49
154073e7be41
hex241797dc51

155014650961 has 9 divisors (see below), whose sum is σ = 158401918299. Its totient is φ = 151698355824.

The previous prime is 155014650919. The next prime is 155014651009. The reversal of 155014650961 is 169056410551.

The square root of 155014650961 is 393719.

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

155014650961 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 only one way, i.e., 22268100625 + 132746550336 = 149225^2 + 364344^2 .

It is not a de Polignac number, because 155014650961 - 29 = 155014650449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (155014650911) 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, 18500605 + ... + 18508981.

Almost surely, 2155014650961 is an apocalyptic number.

155014650961 is the 393719-th square number.

155014650961 is the 196860-th centered octagonal number.

It is an amenable number.

155014650961 is a deficient number, since it is larger than the sum of its proper divisors (3387267338).

155014650961 is an frugal number, since it uses more digits than its factorization.

155014650961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16848 (or 8424 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 43.

The spelling of 155014650961 in words is "one hundred fifty-five billion, fourteen million, six hundred fifty thousand, nine hundred sixty-one".

Divisors: 1 47 2209 8377 393719 18504793 70174129 3298184063 155014650961