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3979007064 = 233443612341
BaseRepresentation
bin1110110100101010…
…1101010001011000
3101021022012111120000
43231022231101120
531122111211224
61454455533000
7200414000454
oct35512552130
911238174500
103979007064
11176205599a
1293068a160
134b5481366
1429a64b664
151844ca0c9
hexed2ad458

3979007064 has 160 divisors (see below), whose sum is σ = 11595991440. Its totient is φ = 1273708800.

The previous prime is 3979007033. The next prime is 3979007069. The reversal of 3979007064 is 4607009793.

3979007064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3979007069) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1698534 + ... + 1700874.

Almost surely, 23979007064 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 3979007064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5797995720).

3979007064 is an abundant number, since it is smaller than the sum of its proper divisors (7616984376).

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

3979007064 is a wasteful number, since it uses less digits than its factorization.

3979007064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2463 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 3979007064 is about 63079.3711446143. The cubic root of 3979007064 is about 1584.6191622171.

The spelling of 3979007064 in words is "three billion, nine hundred seventy-nine million, seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 61 72 81 86 108 122 129 162 172 183 216 244 258 324 344 366 387 488 516 549 648 732 774 1032 1098 1161 1464 1548 1647 2196 2322 2341 2623 3096 3294 3483 4392 4644 4682 4941 5246 6588 6966 7023 7869 9288 9364 9882 10492 13176 13932 14046 15738 18728 19764 20984 21069 23607 27864 28092 31476 39528 42138 47214 56184 62952 63207 70821 84276 94428 100663 126414 141642 142801 168552 188856 189621 201326 212463 252828 283284 285602 301989 379242 402652 424926 428403 505656 566568 571204 603978 758484 805304 849852 856806 905967 1142408 1207956 1285209 1516968 1699704 1713612 1811934 2415912 2570418 2717901 3427224 3623868 3855627 5140836 5435802 6140443 7247736 7711254 8153703 10281672 10871604 11566881 12280886 15422508 16307406 18421329 21743208 23133762 24561772 30845016 32614812 36842658 46267524 49123544 55263987 65229624 73685316 92535048 110527974 147370632 165791961 221055948 331583922 442111896 497375883 663167844 994751766 1326335688 1989503532 3979007064