Search a number
-
+
8250901742484 = 22321058921644321
BaseRepresentation
bin111100000010001000000…
…0100010100001110010100
31002012210000112021112010100
41320010100010110032110
52040140321321224414
625314224551054100
71511052015432642
oct170042004241624
932183015245110
108250901742484
1126a1207a29a05
12b130b6371330
1347b09773988b
142074bab42192
15e4959002609
hex78110114394

8250901742484 has 36 divisors (see below), whose sum is σ = 20858416668180. Its totient is φ = 2750040721920.

The previous prime is 8250901742471. The next prime is 8250901742527. The reversal of 8250901742484 is 4842471090528.

8250901742484 is a `hidden beast` number, since 8 + 2 + 5 + 0 + 90 + 1 + 74 + 2 + 484 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1820265085584 + 6430636656900 = 1349172^2 + 2535870^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8250901742484.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10440957 + ... + 11203364.

It is an arithmetic number, because the mean of its divisors is an integer number (579400463005).

Almost surely, 28250901742484 is an apocalyptic number.

It is an amenable number.

8250901742484 is an abundant number, since it is smaller than the sum of its proper divisors (12607514925696).

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

8250901742484 is a wasteful number, since it uses less digits than its factorization.

8250901742484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21654920 (or 21654915 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 8250901742484 in words is "eight trillion, two hundred fifty billion, nine hundred one million, seven hundred forty-two thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 10589 21178 31767 42356 63534 95301 127068 190602 381204 21644321 43288642 64932963 86577284 129865926 194798889 259731852 389597778 779195556 229191715069 458383430138 687575145207 916766860276 1375150290414 2062725435621 2750300580828 4125450871242 8250901742484