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4274876820 = 2235438319963
BaseRepresentation
bin1111111011001101…
…0111000110010100
3102000220221020120010
43332303113012110
532223332024240
61544105240220
7210635565504
oct37663270624
912026836503
104274876820
1118a4069255
129b3793070
13531864216
142c7a67a04
151a0470280
hexfecd7194

4274876820 has 96 divisors (see below), whose sum is σ = 12396206592. Its totient is φ = 1099986048.

The previous prime is 4274876791. The next prime is 4274876821. The reversal of 4274876820 is 286784724.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4274876820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4274876821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204159 + ... + 224121.

It is an arithmetic number, because the mean of its divisors is an integer number (129127152).

Almost surely, 24274876820 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 4274876820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6198103296).

4274876820 is an abundant number, since it is smaller than the sum of its proper divisors (8121329772).

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

4274876820 is a wasteful number, since it uses less digits than its factorization.

4274876820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20101 (or 20099 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 48.

The square root of 4274876820 is about 65382.5421653212. The cubic root of 4274876820 is about 1622.9601949747.

The spelling of 4274876820 in words is "four billion, two hundred seventy-four million, eight hundred seventy-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 83 86 129 166 172 215 249 258 332 415 430 498 516 645 830 860 996 1245 1290 1660 2490 2580 3569 4980 7138 10707 14276 17845 19963 21414 35690 39926 42828 53535 59889 71380 79852 99815 107070 119778 199630 214140 239556 299445 399260 598890 858409 1197780 1656929 1716818 2575227 3313858 3433636 4292045 4970787 5150454 6627716 8284645 8584090 9941574 10300908 12876135 16569290 17168180 19883148 24853935 25752270 33138580 49707870 51504540 71247947 99415740 142495894 213743841 284991788 356239735 427487682 712479470 854975364 1068719205 1424958940 2137438410 4274876820