Search a number
-
+
4661301632 = 27139728879
BaseRepresentation
bin1000101011101010…
…11101000110000000
3110000212001122202012
410111311131012000
534021243123012
62050311512052
7223340260451
oct42565350600
913025048665
104661301632
111a822019a9
12aa1088628
13593931860
143230d7128
151c4351622
hex115d5d180

4661301632 has 64 divisors (see below), whose sum is σ = 10103956800. Its totient is φ = 2129117184.

The previous prime is 4661301629. The next prime is 4661301677. The reversal of 4661301632 is 2361031664.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146969 + ... + 175847.

It is an arithmetic number, because the mean of its divisors is an integer number (157874325).

Almost surely, 24661301632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4661301632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5051978400).

4661301632 is an abundant number, since it is smaller than the sum of its proper divisors (5442655168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4661301632 is a wasteful number, since it uses less digits than its factorization.

4661301632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29003 (or 28991 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 4661301632 is about 68273.7257808595. The cubic root of 4661301632 is about 1670.4586728215.

The spelling of 4661301632 in words is "four billion, six hundred sixty-one million, three hundred one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 97 104 128 194 208 388 416 776 832 1261 1552 1664 2522 3104 5044 6208 10088 12416 20176 28879 40352 57758 80704 115516 161408 231032 375427 462064 750854 924128 1501708 1848256 2801263 3003416 3696512 5602526 6006832 11205052 12013664 22410104 24027328 36416419 44820208 48054656 72832838 89640416 145665676 179280832 291331352 358561664 582662704 1165325408 2330650816 4661301632