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4996315710 = 23553136569
BaseRepresentation
bin1001010011100110…
…11011101000111110
3110220012110010200000
410221303123220332
540213024100320
62143440215130
7234545661051
oct45163335076
913805403600
104996315710
112134320a41
12b7530a4a6
1361816b939
143557c2a98
151e3979c90
hex129cdba3e

4996315710 has 96 divisors (see below), whose sum is σ = 13516644960. Its totient is φ = 1327891968.

The previous prime is 4996315699. The next prime is 4996315739. The reversal of 4996315710 is 175136994.

4996315710 is a `hidden beast` number, since 4 + 9 + 9 + 631 + 5 + 7 + 1 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 757306 + ... + 763874.

It is an arithmetic number, because the mean of its divisors is an integer number (140798385).

Almost surely, 24996315710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4996315710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6758322480).

4996315710 is an abundant number, since it is smaller than the sum of its proper divisors (8520329250).

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

4996315710 is a wasteful number, since it uses less digits than its factorization.

4996315710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6904 (or 6892 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 4996315710 is about 70684.6214533260. The cubic root of 4996315710 is about 1709.5558403215. Note that the first 3 decimals are identical.

The spelling of 4996315710 in words is "four billion, nine hundred ninety-six million, three hundred fifteen thousand, seven hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 313 405 486 626 810 939 1215 1565 1878 2430 2817 3130 4695 5634 6569 8451 9390 13138 14085 16902 19707 25353 28170 32845 39414 42255 50706 59121 65690 76059 84510 98535 118242 126765 152118 177363 197070 253530 295605 354726 380295 532089 591210 760590 886815 1064178 1596267 1773630 2056097 2660445 3192534 4112194 5320890 6168291 7981335 10280485 12336582 15962670 18504873 20560970 30841455 37009746 55514619 61682910 92524365 111029238 166543857 185048730 277573095 333087714 499631571 555146190 832719285 999263142 1665438570 2498157855 4996315710