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874222777472 = 271146832
BaseRepresentation
bin11001011100010111011…
…11001111010010000000
310002120112002101111112212
430232023233033102000
5103310402012334342
61505340140041252
7120106025000162
oct14561357172200
93076462344485
10874222777472
11307834a70000
1212151b533228
1364592216405
1430453b22932
1517b194d1182
hexcb8bbcf480

874222777472 has 120 divisors (see below), whose sum is σ = 1918574397075. Its totient is φ = 396792183040.

The previous prime is 874222777433. The next prime is 874222777499. The reversal of 874222777472 is 274777222478.

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.

874222777472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 437111388736 + 437111388736 = 661144^2 + 661144^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=661144.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1279974443 + ... + 1279975125.

Almost surely, 2874222777472 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 874222777472

874222777472 is an abundant number, since it is smaller than the sum of its proper divisors (1044351619603).

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

874222777472 is an frugal number, since it uses more digits than its factorization.

874222777472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 696 counting only the distinct ones).

The product of its digits is 34420736, while the sum is 59.

The spelling of 874222777472 in words is "eight hundred seventy-four billion, two hundred twenty-two million, seven hundred seventy-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 683 704 968 1331 1366 1408 1936 2662 2732 3872 5324 5464 7513 7744 10648 10928 14641 15026 15488 21296 21856 29282 30052 42592 43712 58564 60104 82643 85184 87424 117128 120208 165286 170368 234256 240416 330572 466489 468512 480832 661144 909073 932978 937024 961664 1322288 1818146 1865956 1874048 2644576 3636292 3731912 5131379 5289152 7272584 7463824 9999803 10262758 10578304 14545168 14927648 19999606 20525516 29090336 29855296 39999212 41051032 56445169 58180672 59710592 79998424 82102064 112890338 116361344 159996848 164204128 225780676 319993696 328408256 451561352 620896859 639987392 656816512 903122704 1241793718 1279974784 1806245408 2483587436 3612490816 4967174872 6829865449 7224981632 9934349744 13659730898 19868699488 27319461796 39737398976 54638923592 79474797952 109277847184 218555694368 437111388736 874222777472