Search a number
-
+
48101701041 = 3681232
BaseRepresentation
bin101100110011000101…
…011011010110110001
311121011021211121000000
4230303011123112301
51242003013413131
634033030220213
73322001466312
oct546305332661
9147137747000
1048101701041
1119444179a39
1293a51b4669
1346c76b34c4
14248458a609
1513b7dc0ce6
hexb3315b5b1

48101701041 has 21 divisors (see below), whose sum is σ = 72128439529. Its totient is φ = 32063852916.

The previous prime is 48101701031. The next prime is 48101701051. The reversal of 48101701041 is 14010710184.

The square root of 48101701041 is 219321.

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

48101701041 is a `hidden beast` number, since 481 + 0 + 170 + 10 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (48101701031) and next prime (48101701051).

It is not a de Polignac number, because 48101701041 - 215 = 48101668273 is a prime.

It is a super-3 number, since 3×481017010413 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 48101700996 and 48101701014.

It is not an unprimeable number, because it can be changed into a prime (48101701031) 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 20 ways as a sum of consecutive naturals, for example, 5917606 + ... + 5925728.

Almost surely, 248101701041 is an apocalyptic number.

48101701041 is the 219321-st square number.

48101701041 is the 109661-st centered octagonal number.

It is an amenable number.

48101701041 is a deficient number, since it is larger than the sum of its proper divisors (24026738488).

48101701041 is an frugal number, since it uses more digits than its factorization.

48101701041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16264 (or 8126 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 48101701041 in words is "forty-eight billion, one hundred one million, seven hundred one thousand, forty-one".

Divisors: 1 3 9 27 81 243 729 8123 24369 73107 219321 657963 1973889 5921667 65983129 197949387 593848161 1781544483 5344633449 16033900347 48101701041