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48122758161 = 328328812
BaseRepresentation
bin101100110100010101…
…110000010000010001
311121012202110101221100
4230310111300100101
51242023411230121
634035101415013
73322345460322
oct546425602021
9147182411840
1048122758161
1119455051515
1293b026a469
1346cbb76b3a
1424872ac449
1513b9b80026
hexb34570411

48122758161 has 27 divisors (see below), whose sum is σ = 70438170907. Its totient is φ = 31659334080.

The previous prime is 48122758153. The next prime is 48122758181. The reversal of 48122758161 is 16185722184.

The square root of 48122758161 is 219369.

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

48122758161 is a `hidden beast` number, since 4 + 8 + 1 + 2 + 2 + 7 + 581 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8442118161 + 39680640000 = 91881^2 + 199200^2 .

It is not a de Polignac number, because 48122758161 - 23 = 48122758153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48122758111) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 54622441 + ... + 54623321.

Almost surely, 248122758161 is an apocalyptic number.

48122758161 is the 219369-th square number.

48122758161 is the 109685-th centered octagonal number.

It is an amenable number.

48122758161 is a deficient number, since it is larger than the sum of its proper divisors (22315412746).

48122758161 is an frugal number, since it uses more digits than its factorization.

48122758161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 967 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The spelling of 48122758161 in words is "forty-eight billion, one hundred twenty-two million, seven hundred fifty-eight thousand, one hundred sixty-one".

Divisors: 1 3 9 83 249 747 881 2643 6889 7929 20667 62001 73123 219369 658107 776161 2328483 6069209 6985449 18207627 54622881 64421363 193264089 579792267 5346973129 16040919387 48122758161