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4334542464 = 27372370111
BaseRepresentation
bin1000000100101101…
…11101111010000000
3102012002012120102210
410002112331322000
532334120324324
61554040142120
7212262001020
oct40226757200
912162176383
104334542464
1119248109aa
12a0b767940
13541024c35
142d1959a80
151a5808d29
hex1025bde80

4334542464 has 128 divisors (see below), whose sum is σ = 13730734080. Its totient is φ = 1184578560.

The previous prime is 4334542463. The next prime is 4334542469. The reversal of 4334542464 is 4642454334.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4334542463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26769 + ... + 96879.

It is an arithmetic number, because the mean of its divisors is an integer number (107271360).

Almost surely, 24334542464 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 4334542464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6865367040).

4334542464 is an abundant number, since it is smaller than the sum of its proper divisors (9396191616).

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

4334542464 is a wasteful number, since it uses less digits than its factorization.

4334542464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70158 (or 70146 counting only the distinct ones).

The product of its digits is 552960, while the sum is 39.

The square root of 4334542464 is about 65837.2422265696. The cubic root of 4334542464 is about 1630.4760379589.

Adding to 4334542464 its reverse (4642454334), we get a palindrome (8976996798).

The spelling of 4334542464 in words is "four billion, three hundred thirty-four million, five hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 276 322 336 368 384 448 483 552 644 672 736 896 966 1104 1288 1344 1472 1932 2208 2576 2688 2944 3864 4416 5152 7728 8832 10304 15456 20608 30912 61824 70111 140222 210333 280444 420666 490777 560888 841332 981554 1121776 1472331 1612553 1682664 1963108 2243552 2944662 3225106 3365328 3926216 4487104 4837659 5889324 6450212 6730656 7852432 8974208 9675318 11287871 11778648 12900424 13461312 15704864 19350636 22575742 23557296 25800848 26922624 31409728 33863613 38701272 45151484 47114592 51601696 62819456 67727226 77402544 90302968 94229184 103203392 135454452 154805088 180605936 188458368 206406784 270908904 309610176 361211872 541817808 619220352 722423744 1083635616 1444847488 2167271232 4334542464