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4777342420 = 22523312101107
BaseRepresentation
bin1000111001100000…
…00111010111010100
3110022221102010210011
410130300013113110
534240444424140
62110015010004
7226246512004
oct43460072724
913287363704
104777342420
11203175a084
12b13b09904
135b19a0646
143346a2004
151ce623cea
hex11cc075d4

4777342420 has 144 divisors (see below), whose sum is σ = 11026399104. Its totient is φ = 1735008000.

The previous prime is 4777342403. The next prime is 4777342421. The reversal of 4777342420 is 242437774.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4777342421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44648007 + ... + 44648113.

It is an arithmetic number, because the mean of its divisors is an integer number (76572216).

Almost surely, 24777342420 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 4777342420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5513199552).

4777342420 is an abundant number, since it is smaller than the sum of its proper divisors (6249056684).

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

4777342420 is a wasteful number, since it uses less digits than its factorization.

4777342420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 40.

The square root of 4777342420 is about 69118.3218835643. The cubic root of 4777342420 is about 1684.2069568657.

The spelling of 4777342420 in words is "four billion, seven hundred seventy-seven million, three hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 101 107 115 124 155 202 214 230 310 404 428 460 505 535 620 713 961 1010 1070 1426 1922 2020 2140 2323 2461 2852 3131 3317 3565 3844 4646 4805 4922 6262 6634 7130 9292 9610 9844 10807 11615 12305 12524 13268 14260 15655 16585 19220 21614 22103 23230 24610 31310 33170 43228 44206 46460 49220 54035 62620 66340 72013 76291 88412 97061 102827 108070 110515 144026 152582 194122 205654 216140 221030 248561 288052 305164 335017 360065 381455 388244 411308 442060 485305 497122 514135 670034 720130 762910 970610 994244 1028270 1242805 1340068 1440260 1525820 1675085 1941220 2056540 2232403 2365021 2485610 3350170 4464806 4730042 4971220 6700340 7705391 8929612 9460084 10385527 11162015 11825105 15410782 20771054 22324030 23650210 30821564 38526955 41542108 44648060 47300420 51927635 77053910 103855270 154107820 207710540 238867121 477734242 955468484 1194335605 2388671210 4777342420