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4661001320 = 23597103107109
BaseRepresentation
bin1000101011101000…
…10011110001101000
3110000211111101210112
410111310103301220
534021204020240
62050301233452
7223334600063
oct42564236150
913024441715
104661001320
111a82017308
12aa0b62888
13593857c61
143230598da
151c42e2665
hex115d13c68

4661001320 has 128 divisors (see below), whose sum is σ = 10897286400. Its totient is φ = 1793581056.

The previous prime is 4661001281. The next prime is 4661001329. The reversal of 4661001320 is 231001664.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4661001329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42761426 + ... + 42761534.

It is an arithmetic number, because the mean of its divisors is an integer number (85135050).

Almost surely, 24661001320 is an apocalyptic number.

4661001320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4661001320 is an abundant number, since it is smaller than the sum of its proper divisors (6236285080).

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

4661001320 is a wasteful number, since it uses less digits than its factorization.

4661001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 4661001320 is about 68271.5264220744. The cubic root of 4661001320 is about 1670.4227980382.

Adding to 4661001320 its reverse (231001664), we get a palindrome (4892002984).

The spelling of 4661001320 in words is "four billion, six hundred sixty-one million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 97 103 107 109 194 206 214 218 388 412 428 436 485 515 535 545 776 824 856 872 970 1030 1070 1090 1940 2060 2140 2180 3880 4120 4280 4360 9991 10379 10573 11021 11227 11663 19982 20758 21146 22042 22454 23326 39964 41516 42292 44084 44908 46652 49955 51895 52865 55105 56135 58315 79928 83032 84584 88168 89816 93304 99910 103790 105730 110210 112270 116630 199820 207580 211460 220420 224540 233260 399640 415160 422920 440840 449080 466520 1069037 1089019 1131311 1201289 2138074 2178038 2262622 2402578 4276148 4356076 4525244 4805156 5345185 5445095 5656555 6006445 8552296 8712152 9050488 9610312 10690370 10890190 11313110 12012890 21380740 21780380 22626220 24025780 42761480 43560760 45252440 48051560 116525033 233050066 466100132 582625165 932200264 1165250330 2330500660 4661001320