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4950808416 = 2532197112743
BaseRepresentation
bin1001001110001011…
…10101011101100000
3110210000211010101200
410213011311131200
540114401332131
62135133001200
7233454114531
oct44705653540
913700733350
104950808416
112110669704
12b62023200
1360b8c7448
1434d738688
151de98b2e6
hex127175760

4950808416 has 144 divisors (see below), whose sum is σ = 15029763840. Its totient is φ = 1541272320.

The previous prime is 4950808411. The next prime is 4950808439. The reversal of 4950808416 is 6148080594.

4950808416 is a `hidden beast` number, since 495 + 0 + 80 + 84 + 1 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4950808411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 382141 + ... + 394883.

It is an arithmetic number, because the mean of its divisors is an integer number (104373360).

Almost surely, 24950808416 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 4950808416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7514881920).

4950808416 is an abundant number, since it is smaller than the sum of its proper divisors (10078955424).

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

4950808416 is a wasteful number, since it uses less digits than its factorization.

4950808416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12849 (or 12838 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 4950808416 is about 70361.9813251446. The cubic root of 4950808416 is about 1704.3496934895.

The spelling of 4950808416 in words is "four billion, nine hundred fifty million, eight hundred eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 71 72 76 96 114 142 144 152 171 213 228 284 288 304 342 426 456 568 608 639 684 852 912 1136 1278 1349 1368 1704 1824 2272 2556 2698 2736 3408 4047 5112 5396 5472 6816 8094 10224 10792 12141 12743 16188 20448 21584 24282 25486 32376 38229 43168 48564 50972 64752 76458 97128 101944 114687 129504 152916 194256 203888 229374 242117 305832 388512 407776 458748 484234 611664 726351 904753 917496 968468 1223328 1452702 1809506 1834992 1936936 2179053 2714259 2905404 3619012 3669984 3873872 4358106 5428518 5810808 7238024 7747744 8142777 8716212 10857036 11621616 14476048 16285554 17190307 17432424 21714072 23243232 28952096 32571108 34380614 34864848 43428144 51570921 65142216 68761228 69729696 86856288 103141842 130284432 137522456 154712763 206283684 260568864 275044912 309425526 412567368 550089824 618851052 825134736 1237702104 1650269472 2475404208 4950808416