Search a number
-
+
2198050803531 = 3211471936173967
BaseRepresentation
bin11111111111000110000…
…010011000111101001011
321210010112221101002120200
4133333012002120331023
5242003102001203111
64401434241023243
7314542514362362
oct37770602307513
97703487332520
102198050803531
11778208414910
122b5bb6924b23
1312c376ab624b
1478559b3c7d9
153c29a277256
hex1ffc6098f4b

2198050803531 has 96 divisors (see below), whose sum is σ = 3562277142528. Its totient is φ = 1294624235520.

The previous prime is 2198050803517. The next prime is 2198050803541. The reversal of 2198050803531 is 1353080508912.

2198050803531 is a `hidden beast` number, since 2 + 1 + 9 + 80 + 508 + 0 + 35 + 31 = 666.

It is not a de Polignac number, because 2198050803531 - 29 = 2198050803019 is a prime.

It is a super-2 number, since 2×21980508035312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2198050803541) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 554081910 + ... + 554085876.

It is an arithmetic number, because the mean of its divisors is an integer number (37107053568).

Almost surely, 22198050803531 is an apocalyptic number.

2198050803531 is a deficient number, since it is larger than the sum of its proper divisors (1364226338997).

2198050803531 is a wasteful number, since it uses less digits than its factorization.

2198050803531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4841 (or 4838 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 2198050803531 in words is "two trillion, one hundred ninety-eight billion, fifty million, eight hundred three thousand, five hundred thirty-one".

Divisors: 1 3 9 11 33 47 99 141 193 423 517 579 617 1551 1737 1851 2123 3967 4653 5553 6369 6787 9071 11901 19107 20361 27213 28999 35703 43637 61083 81639 86997 99781 119081 130911 186449 260991 299343 318989 357243 392733 559347 765631 898029 956967 1071729 1309891 1678041 2050939 2296893 2447639 2870901 3929673 5596807 6152817 6890679 7342917 8421941 11789019 16790421 18458451 22028751 25265823 26924029 35984657 50371263 61564877 75797469 80772087 107953971 115039033 184694631 242316261 323861913 345117099 395831227 472394327 554083893 1035351297 1187493681 1265429363 1417182981 3562481043 3796288089 4251548943 5196337597 11388864267 15589012791 22202533369 46767038373 66607600107 199822800321 244227867059 732683601177 2198050803531