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4324067712 = 27342318133
BaseRepresentation
bin1000000011011110…
…00000100110000000
3102011100111101210000
410001233000212000
532323430131322
61553023440000
7212103653256
oct40157004600
912140441700
104324067712
111919907088
12a08156000
1353bac8263
142d03d05d6
151a493a3ac
hex101bc0980

4324067712 has 160 divisors (see below), whose sum is σ = 13428589680. Its totient is φ = 1378612224.

The previous prime is 4324067647. The next prime is 4324067717. The reversal of 4324067712 is 2177604234.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4324067717) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 229398 + ... + 247530.

Almost surely, 24324067712 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 4324067712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6714294840).

4324067712 is an abundant number, since it is smaller than the sum of its proper divisors (9104521968).

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

4324067712 is a wasteful number, since it uses less digits than its factorization.

4324067712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18182 (or 18161 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 4324067712 is about 65757.6437534071. The cubic root of 4324067712 is about 1629.1615887243.

The spelling of 4324067712 in words is "four billion, three hundred twenty-four million, sixty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 128 138 144 162 184 192 207 216 276 288 324 368 384 414 432 552 576 621 648 736 828 864 1104 1152 1242 1296 1472 1656 1728 1863 2208 2484 2592 2944 3312 3456 3726 4416 4968 5184 6624 7452 8832 9936 10368 13248 14904 18133 19872 26496 29808 36266 39744 54399 59616 72532 79488 108798 119232 145064 163197 217596 238464 290128 326394 417059 435192 489591 580256 652788 834118 870384 979182 1160512 1251177 1305576 1468773 1668236 1740768 1958364 2321024 2502354 2611152 2937546 3336472 3481536 3753531 3916728 5004708 5222304 5875092 6672944 6963072 7507062 7833456 10009416 10444608 11260593 11750184 13345888 15014124 15666912 20018832 20889216 22521186 23500368 26691776 30028248 31333824 33781779 40037664 45042372 47000736 53383552 60056496 62667648 67563558 80075328 90084744 94001472 120112992 135127116 160150656 180169488 188002944 240225984 270254232 360338976 480451968 540508464 720677952 1081016928 1441355904 2162033856 4324067712