Search a number
-
+
4626302106741 = 3724319326314419
BaseRepresentation
bin100001101010010010100…
…0101111111110001110101
3121101021021221121012212220
41003110211011333301311
51101244131314403431
613501143245432553
7655145036036100
oct103244505776165
917337257535786
104626302106741
111524004a28267
1262873726b759
132773489842c3
1411dcb2879737
1580519ea4b96
hex4352517fc75

4626302106741 has 96 divisors (see below), whose sum is σ = 7408980311040. Its totient is φ = 2558798678016.

The previous prime is 4626302106739. The next prime is 4626302106779. The reversal of 4626302106741 is 1476012036264.

It is a happy number.

It is not a de Polignac number, because 4626302106741 - 21 = 4626302106739 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4626302106693 and 4626302106702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4626302101741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 320840430 + ... + 320854848.

It is an arithmetic number, because the mean of its divisors is an integer number (77176878240).

Almost surely, 24626302106741 is an apocalyptic number.

It is an amenable number.

4626302106741 is a deficient number, since it is larger than the sum of its proper divisors (2782678204299).

4626302106741 is a wasteful number, since it uses less digits than its factorization.

4626302106741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14935 (or 14928 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 4626302106741 in words is "four trillion, six hundred twenty-six billion, three hundred two million, one hundred six thousand, seven hundred forty-one".

Divisors: 1 3 7 21 43 49 129 147 193 263 301 579 789 903 1351 1841 2107 4053 5523 6321 8299 9457 11309 12887 14419 24897 28371 33927 38661 43257 50759 58093 79163 100933 152277 174279 237489 302799 355313 406651 554141 620017 706531 1065939 1219953 1662423 1860051 2119593 2182637 2487191 2782867 3792197 4340119 6547911 7461573 8348601 11376591 13020357 15278459 19480069 26545379 30380833 45835377 58440207 79636137 91142499 106949213 119663281 136360483 163064471 185817653 320847639 358989843 409081449 489193413 557452959 731894021 837642967 1141451297 2195682063 2512928901 3424353891 5123258147 5863500769 7990159079 15369774441 17590502307 23970477237 31471442903 35862807029 94414328709 107588421087 220300100321 660900300963 1542100702247 4626302106741