Search a number
-
+
48190724415 = 345176999379
BaseRepresentation
bin101100111000011001…
…000001100100111111
311121101111100110010000
4230320121001210333
51242143311140130
634045530245343
73324132253551
oct547031014477
9147344313100
1048190724415
111948a453579
12940ab86853
13470cc82a62
1424923214d1
1513c0b08260
hexb3864193f

48190724415 has 40 divisors (see below), whose sum is σ = 91467897840. Its totient is φ = 24189850368.

The previous prime is 48190724389. The next prime is 48190724419. The reversal of 48190724415 is 51442709184.

48190724415 is a `hidden beast` number, since 4 + 81 + 90 + 72 + 4 + 415 = 666.

48190724415 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 48190724415 - 25 = 48190724383 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48190724419) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3492805 + ... + 3506574.

It is an arithmetic number, because the mean of its divisors is an integer number (2286697446).

Almost surely, 248190724415 is an apocalyptic number.

48190724415 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

48190724415 is a deficient number, since it is larger than the sum of its proper divisors (43277173425).

48190724415 is a wasteful number, since it uses less digits than its factorization.

48190724415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6999413 (or 6999404 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 48190724415 in words is "forty-eight billion, one hundred ninety million, seven hundred twenty-four thousand, four hundred fifteen".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 135 153 255 405 459 765 1377 2295 6885 6999379 20998137 34996895 62994411 104990685 118989443 188983233 314972055 356968329 566949699 594947215 944916165 1070904987 1784841645 2834748495 3212714961 5354524935 9638144883 16063574805 48190724415