Search a number
-
+
449967273616 = 2472239572
BaseRepresentation
bin1101000110001000010…
…00111011011010010000
31121000102222210212110101
412203010020323122100
524333013110223431
6542413452142144
744336415501400
oct6430410733220
91530388725411
10449967273616
11163914882653
1273259167954
133357c690133
1417ac8414800
15ba88476961
hex68c423b690

449967273616 has 45 divisors (see below), whose sum is σ = 1014190512969. Its totient is φ = 192835067712.

The previous prime is 449967273611. The next prime is 449967273631. The reversal of 449967273616 is 616372769944.

The square root of 449967273616 is 670796.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 367308723600 + 82658550016 = 606060^2 + 287504^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (449967273611) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18770310 + ... + 18794266.

Almost surely, 2449967273616 is an apocalyptic number.

449967273616 is the 670796-th square number.

It is an amenable number.

449967273616 is an abundant number, since it is smaller than the sum of its proper divisors (564223239353).

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

449967273616 is an frugal number, since it uses more digits than its factorization.

449967273616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47936 (or 23966 counting only the distinct ones).

The product of its digits is 82301184, while the sum is 64.

Multiplying 449967273616 by its sum of digits (64), we get a square (28797905511424 = 53663682).

The spelling of 449967273616 in words is "four hundred forty-nine billion, nine hundred sixty-seven million, two hundred seventy-three thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 23957 47914 95828 167699 191656 335398 383312 670796 1173893 1341592 2347786 2683184 4695572 9391144 18782288 573937849 1147875698 2295751396 4017564943 4591502792 8035129886 9183005584 16070259772 28122954601 32140519544 56245909202 64281039088 112491818404 224983636808 449967273616