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4919809752 = 2334111353093
BaseRepresentation
bin1001001010011111…
…00101011011011000
3110200212111020020000
410211033211123120
540033432403002
62132104333000
7232626456444
oct44517453330
913625436200
104919809752
1120a5116980
12b53774160
13605362a40
14349589824
151dbdb661c
hex1253e56d8

4919809752 has 160 divisors (see below), whose sum is σ = 16189422480. Its totient is φ = 1376144640.

The previous prime is 4919809717. The next prime is 4919809781. The reversal of 4919809752 is 2579089194.

4919809752 is a `hidden beast` number, since 491 + 9 + 80 + 9 + 75 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 66118 + ... + 119210.

Almost surely, 24919809752 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 4919809752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8094711240).

4919809752 is an abundant number, since it is smaller than the sum of its proper divisors (11269612728).

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

4919809752 is a wasteful number, since it uses less digits than its factorization.

4919809752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53135 (or 53122 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The square root of 4919809752 is about 70141.3555044383. The cubic root of 4919809752 is about 1700.7850759124.

The spelling of 4919809752 in words is "four billion, nine hundred nineteen million, eight hundred nine thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 81 88 99 104 108 117 132 143 156 162 198 216 234 264 286 297 312 324 351 396 429 468 572 594 648 702 792 858 891 936 1053 1144 1188 1287 1404 1716 1782 2106 2376 2574 2808 3432 3564 3861 4212 5148 7128 7722 8424 10296 11583 15444 23166 30888 46332 53093 92664 106186 159279 212372 318558 424744 477837 584023 637116 690209 955674 1168046 1274232 1380418 1433511 1752069 1911348 2070627 2336092 2760836 2867022 3504138 3822696 4141254 4300533 4672184 5256207 5521672 5734044 6211881 7008276 7592299 8282508 8601066 10512414 11468088 12423762 14016552 15184598 15768621 16565016 17202132 18635643 21024828 22776897 24847524 30369196 31537242 34404264 37271286 42049656 45553794 47305863 49695048 55906929 60738392 63074484 68330691 74542572 91107588 94611726 111813858 126148968 136661382 149085144 182215176 189223452 204992073 223627716 273322764 378446904 409984146 447255432 546645528 614976219 819968292 1229952438 1639936584 2459904876 4919809752