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48086788369 = 103221292
BaseRepresentation
bin101100110010001100…
…100010100100010001
311121010020202221122211
4230302030202210101
51241440204211434
634031334432121
73321430646164
oct546214424421
9147106687584
1048086788369
1119436813914
1293a0202641
1346c4591839
1424825c7adb
1513b6927464
hexb32322911

48086788369 has 9 divisors (see below), whose sum is σ = 48581001723. Its totient is φ = 47597559072.

The previous prime is 48086788361. The next prime is 48086788429. The reversal of 48086788369 is 96388768084.

The square root of 48086788369 is 219287.

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

It can be written as a sum of positive squares in only one way, i.e., 12168957969 + 35917830400 = 110313^2 + 189520^2 .

It is not a de Polignac number, because 48086788369 - 23 = 48086788361 is a prime.

It is a super-3 number, since 3×480867883693 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48086788361) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22585497 + ... + 22587625.

Almost surely, 248086788369 is an apocalyptic number.

48086788369 is the 219287-th square number.

48086788369 is the 109644-th centered octagonal number.

It is an amenable number.

48086788369 is a deficient number, since it is larger than the sum of its proper divisors (494213354).

48086788369 is an frugal number, since it uses more digits than its factorization.

48086788369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4464 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 67.

The spelling of 48086788369 in words is "forty-eight billion, eighty-six million, seven hundred eighty-eight thousand, three hundred sixty-nine".

Divisors: 1 103 2129 10609 219287 4532641 22586561 466862023 48086788369