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4805507616 = 253721378583
BaseRepresentation
bin1000111100110111…
…00011101000100000
3110101220102002011120
410132123203220200
534320202220431
62112502412240
7230041066200
oct43633435040
913356362146
104805507616
112046646aa8
12b21431080
135b7782440
14338314400
151d1d39196
hex11e6e3a20

4805507616 has 144 divisors (see below), whose sum is σ = 15802928064. Its totient is φ = 1267370496.

The previous prime is 4805507591. The next prime is 4805507639. The reversal of 4805507616 is 6167055084.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21861 + ... + 100443.

It is an arithmetic number, because the mean of its divisors is an integer number (109742556).

Almost surely, 24805507616 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 4805507616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7901464032).

4805507616 is an abundant number, since it is smaller than the sum of its proper divisors (10997420448).

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

4805507616 is a wasteful number, since it uses less digits than its factorization.

4805507616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78623 (or 78608 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 4805507616 is about 69321.7687021905. The cubic root of 4805507616 is about 1687.5102650020.

The spelling of 4805507616 in words is "four billion, eight hundred five million, five hundred seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 91 96 98 104 112 147 156 168 182 196 208 224 273 294 312 336 364 392 416 546 588 624 637 672 728 784 1092 1176 1248 1274 1456 1568 1911 2184 2352 2548 2912 3822 4368 4704 5096 7644 8736 10192 15288 20384 30576 61152 78583 157166 235749 314332 471498 550081 628664 942996 1021579 1100162 1257328 1650243 1885992 2043158 2200324 2514656 3064737 3300486 3771984 3850567 4086316 4400648 6129474 6600972 7151053 7543968 7701134 8172632 8801296 11551701 12258948 13201944 14302106 15402268 16345264 17602592 21453159 23103402 24517896 26403888 28604212 30804536 32690528 42906318 46206804 49035792 50057371 52807776 57208424 61609072 85812636 92413608 98071584 100114742 114416848 123218144 150172113 171625272 184827216 200229484 228833696 300344226 343250544 369654432 400458968 600688452 686501088 800917936 1201376904 1601835872 2402753808 4805507616