Search a number
-
+
2494972794942 = 23215172710971151
BaseRepresentation
bin100100010011100111111…
…101111001100000111110
322211111221221111002022200
4210103213331321200332
5311334201013414232
65150101421452330
7345153515562045
oct44234775714076
98744857432280
102494972794942
1188212610a761
123436614110a6
131513760197a4
1488a8616d55c
1544d775d377c
hex244e7f7983e

2494972794942 has 96 divisors (see below), whose sum is σ = 5458764939264. Its totient is φ = 823545360000.

The previous prime is 2494972794917. The next prime is 2494972794973.

2494972794942 is a `hidden beast` number, since 2 + 4 + 9 + 497 + 2 + 7 + 94 + 9 + 42 = 666.

2494972794942 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2167656067 + ... + 2167657217.

It is an arithmetic number, because the mean of its divisors is an integer number (56862134784).

Almost surely, 22494972794942 is an apocalyptic number.

2494972794942 is an abundant number, since it is smaller than the sum of its proper divisors (2963792144322).

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

2494972794942 is a wasteful number, since it uses less digits than its factorization.

2494972794942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3134 (or 3131 counting only the distinct ones).

The product of its digits is 658409472, while the sum is 72.

The spelling of 2494972794942 in words is "two trillion, four hundred ninety-four billion, nine hundred seventy-two million, seven hundred ninety-four thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 151 302 453 727 906 1097 1151 1359 1454 2181 2194 2302 2718 3291 3453 4362 6543 6582 6906 9873 10359 13086 19746 20718 109777 165647 173801 219554 329331 331294 347602 496941 521403 658662 797519 836777 987993 993882 1042806 1262647 1490823 1564209 1595038 1673554 1975986 2392557 2510331 2525294 2981646 3128418 3787941 4785114 5020662 7177671 7530993 7575882 11363823 14355342 15061986 22727646 120425369 126353327 190659697 240850738 252706654 361276107 379059981 381319394 571979091 722552214 758119962 917944369 1083828321 1137179943 1143958182 1715937273 1835888738 2167656642 2274359886 2753833107 3431874546 5507666214 8261499321 16522998642 138609599719 277219199438 415828799157 831657598314 1247486397471 2494972794942