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48753081601 = 72315432
BaseRepresentation
bin101101011001111010…
…001111110100000001
311122211200112011010221
4231121322033310001
51244321242102401
634221415423041
73344101233100
oct553172176401
9148750464127
1048753081601
1119748930884
129547384a81
13479c62b9a3
142506caa037
15140518c7a1
hexb59e8fd01

48753081601 has 9 divisors (see below), whose sum is σ = 56714566401. Its totient is φ = 41787030852.

The previous prime is 48753081569. The next prime is 48753081613. The reversal of 48753081601 is 10618035784.

The square root of 48753081601 is 220801.

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

It is not a de Polignac number, because 48753081601 - 25 = 48753081569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48753081631) 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, 1529836 + ... + 1561378.

It is an arithmetic number, because the mean of its divisors is an integer number (6301618489).

Almost surely, 248753081601 is an apocalyptic number.

48753081601 is the 220801-st square number.

48753081601 is the 110401-st centered octagonal number.

It is an amenable number.

48753081601 is a deficient number, since it is larger than the sum of its proper divisors (7961484800).

48753081601 is an frugal number, since it uses more digits than its factorization.

48753081601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63100 (or 31550 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 48753081601 in words is "forty-eight billion, seven hundred fifty-three million, eighty-one thousand, six hundred one".

Divisors: 1 7 49 31543 220801 1545607 994960849 6964725943 48753081601