Search a number
-
+
4634327116377 = 347241331102461
BaseRepresentation
bin100001101110000001101…
…1010111110101001011001
3121102001000020001221120000
41003130003122332221121
51101412100220211002
613504551441323213
7655550642351460
oct103340332765131
917361006057500
104634327116377
111527452927832
1262a1b6936509
13278027442b0a
141204345b39d7
158083979061c
hex437036bea59

4634327116377 has 80 divisors (see below), whose sum is σ = 7968776306304. Its totient is φ = 2629205568000.

The previous prime is 4634327116283. The next prime is 4634327116439. The reversal of 4634327116377 is 7736117234364.

4634327116377 is a `hidden beast` number, since 4 + 6 + 343 + 2 + 71 + 163 + 77 = 666.

It is not a de Polignac number, because 4634327116377 - 216 = 4634327050841 is a prime.

It is a super-2 number, since 2×46343271163772 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4634327116877) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45178927 + ... + 45281387.

Almost surely, 24634327116377 is an apocalyptic number.

It is an amenable number.

4634327116377 is a deficient number, since it is larger than the sum of its proper divisors (3334449189927).

4634327116377 is a wasteful number, since it uses less digits than its factorization.

4634327116377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103052 (or 103043 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 54.

The spelling of 4634327116377 in words is "four trillion, six hundred thirty-four billion, three hundred twenty-seven million, one hundred sixteen thousand, three hundred seventy-seven".

Divisors: 1 3 7 9 21 27 63 81 189 241 331 567 723 993 1687 2169 2317 2979 5061 6507 6951 8937 15183 19521 20853 26811 45549 62559 79771 102461 136647 187677 239313 307383 558397 717227 717939 922149 1675191 2151681 2153817 2766447 5025573 6455043 6461451 8299341 15076719 19365129 24693101 33914591 45230157 58095387 74079303 101743773 172851707 222237909 237402137 305231319 518555121 666713727 712206411 915693957 1555665363 2000141181 2136619233 2747081871 4666996089 6409857699 8173416431 14000988267 19229573097 24520249293 57213915017 73560747879 171641745051 220682243637 514925235153 662046730911 1544775705459 4634327116377