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4905088920 = 2333533713477
BaseRepresentation
bin1001001000101110…
…11011011110011000
3110122211210100001000
410210113123132120
540021200321140
62130421025000
7232360365534
oct44427333630
913584710030
104905088920
1120978819a6
12b4a855160
136022aa4a4
14347636bc4
151da959a30
hex1245db798

4905088920 has 128 divisors (see below), whose sum is σ = 16400030400. Its totient is φ = 1304045568.

The previous prime is 4905088901. The next prime is 4905088933. The reversal of 4905088920 is 298805094.

4905088920 is a `hidden beast` number, since 49 + 0 + 508 + 89 + 20 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357222 + ... + 370698.

Almost surely, 24905088920 is an apocalyptic number.

4905088920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4905088920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8200015200).

4905088920 is an abundant number, since it is smaller than the sum of its proper divisors (11494941480).

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

4905088920 is a wasteful number, since it uses less digits than its factorization.

4905088920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13834 (or 13824 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 4905088920 is about 70036.3399957479. The cubic root of 4905088920 is about 1699.0870438255.

The spelling of 4905088920 in words is "four billion, nine hundred five million, eighty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 337 360 540 674 1011 1080 1348 1685 2022 2696 3033 3370 4044 5055 6066 6740 8088 9099 10110 12132 13477 13480 15165 18198 20220 24264 26954 30330 36396 40431 40440 45495 53908 60660 67385 72792 80862 90990 107816 121293 121320 134770 161724 181980 202155 242586 269540 323448 363879 363960 404310 485172 539080 606465 727758 808620 970344 1212930 1455516 1617240 1819395 2425860 2911032 3638790 4541749 4851720 7277580 9083498 13625247 14555160 18166996 22708745 27250494 36333992 40875741 45417490 54500988 68126235 81751482 90834980 109001976 122627223 136252470 163502964 181669960 204378705 245254446 272504940 327005928 408757410 490508892 545009880 613136115 817514820 981017784 1226272230 1635029640 2452544460 4905088920