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4996577376 = 2532711232207
BaseRepresentation
bin1001010011101000…
…11011100001100000
3110220012221102121100
410221310123201200
540213110434001
62143445554400
7234551130660
oct45164334140
913805842540
104996577376
11213448a59a
12b75415a00
13618230a7b
143558501a0
151e39cc586
hex129d1b860

4996577376 has 144 divisors (see below), whose sum is σ = 16260701184. Its totient is φ = 1425676032.

The previous prime is 4996577357. The next prime is 4996577393. The reversal of 4996577376 is 6737756994.

4996577376 is a `hidden beast` number, since 499 + 6 + 5 + 7 + 73 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 2262865 + ... + 2265071.

It is an arithmetic number, because the mean of its divisors is an integer number (112921536).

Almost surely, 24996577376 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 4996577376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8130350592).

4996577376 is an abundant number, since it is smaller than the sum of its proper divisors (11264123808).

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

4996577376 is a wasteful number, since it uses less digits than its factorization.

4996577376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3353 (or 3342 counting only the distinct ones).

The product of its digits is 60011280, while the sum is 63.

The square root of 4996577376 is about 70686.4723691882. The cubic root of 4996577376 is about 1709.5856839673.

The spelling of 4996577376 in words is "four billion, nine hundred ninety-six million, five hundred seventy-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1123 2016 2207 2246 3369 4414 4492 6621 6738 7861 8828 8984 10107 13242 13476 15449 15722 17656 17968 19863 20214 23583 26484 26952 30898 31444 35312 35936 39726 40428 46347 47166 52968 53904 61796 62888 70624 70749 79452 80856 92694 94332 105936 107808 123592 125776 139041 141498 158904 161712 185388 188664 211872 247184 251552 278082 282996 317808 323424 370776 377328 494368 556164 565992 635616 741552 754656 1112328 1131984 1483104 2224656 2263968 2478461 4449312 4956922 7435383 9913844 14870766 17349227 19827688 22306149 29741532 34698454 39655376 44612298 52047681 59483064 69396908 79310752 89224596 104095362 118966128 138793816 156143043 178449192 208190724 237932256 277587632 312286086 356898384 416381448 555175264 624572172 713796768 832762896 1249144344 1665525792 2498288688 4996577376