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424776505472 = 2711252372
BaseRepresentation
bin1100010111001101010…
…01110001100010000000
31111121102101221020221122
412023212221301202000
523424420241133342
6523050054411412
742455233502564
oct6134651614200
91447371836848
10424776505472
11154168299700
126a3a8960b68
1331096782677
14167b89ad6a4
15b0b1b704d2
hex62e6a71880

424776505472 has 72 divisors (see below), whose sum is σ = 930336168405. Its totient is φ = 193043361280.

The previous prime is 424776505451. The next prime is 424776505501. The reversal of 424776505472 is 274505677424.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 361566500416 + 63210005056 = 601304^2 + 251416^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=460856.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 81108038 + ... + 81113274.

Almost surely, 2424776505472 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 424776505472

424776505472 is an abundant number, since it is smaller than the sum of its proper divisors (505559662933).

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

424776505472 is an frugal number, since it uses more digits than its factorization.

424776505472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10510 (or 5250 counting only the distinct ones).

The product of its (nonzero) digits is 13171200, while the sum is 53.

The spelling of 424776505472 in words is "four hundred twenty-four billion, seven hundred seventy-six million, five hundred five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1936 3872 5237 7744 10474 15488 20948 41896 57607 83792 115214 167584 230428 335168 460856 633677 670336 921712 1267354 1843424 2534708 3686848 5069416 7373696 10138832 20277664 27426169 40555328 54852338 81110656 109704676 219409352 301687859 438818704 603375718 877637408 1206751436 1755274816 2413502872 3318566449 3510549632 4827005744 6637132898 9654011488 13274265796 19308022976 26548531592 38616045952 53097063184 106194126368 212388252736 424776505472