Search a number
-
+
4641008041327 = 7331538235323
BaseRepresentation
bin100001110001001000110…
…1000101011110101101111
3121102200020211102002122211
41003202101220223311233
51102014241024310302
613512014420551251
7656205335314000
oct103422150536557
917380224362584
104641008041327
11152a271059609
1262b560252527
132788505cc848
141208a99d31a7
1580acb07dad7
hex43891a2bd6f

4641008041327 has 32 divisors (see below), whose sum is σ = 5692255948800. Its totient is φ = 3777048082080.

The previous prime is 4641008041309. The next prime is 4641008041339. The reversal of 4641008041327 is 7231408001464.

It is a de Polignac number, because none of the positive numbers 2k-4641008041327 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4641008041327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4641008041727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3554113 + ... + 4681210.

It is an arithmetic number, because the mean of its divisors is an integer number (177882998400).

Almost surely, 24641008041327 is an apocalyptic number.

4641008041327 is a deficient number, since it is larger than the sum of its proper divisors (1051247907473).

4641008041327 is an equidigital number, since it uses as much as digits as its factorization.

4641008041327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8235428 (or 8235414 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 4641008041327 in words is "four trillion, six hundred forty-one billion, eight million, forty-one thousand, three hundred twenty-seven".

Divisors: 1 7 31 49 53 217 343 371 1519 1643 2597 10633 11501 18179 80507 563549 8235323 57647261 255295013 403530827 436472119 1787065091 2824715789 3055304833 12509455637 13530635689 21387133831 87566189459 94714449823 149709936817 663001148761 4641008041327