Search a number
-
+
3354756131643 = 3717371631558129
BaseRepresentation
bin110000110100010111000…
…011000010101100111011
3102212201012201111222212220
4300310113003002230323
5414431020032203033
611045053110335123
7464241661423260
oct60642703025473
912781181458786
103354756131643
111083820418134
1246221105a4a3
131b44768835b7
14b852a2a9267
155c3e90cbbb3
hex30d170c2b3b

3354756131643 has 64 divisors (see below), whose sum is σ = 5593113308160. Its totient is φ = 1744704479232.

The previous prime is 3354756131581. The next prime is 3354756131669. The reversal of 3354756131643 is 3461316574533.

It is not a de Polignac number, because 3354756131643 - 216 = 3354756066107 is a prime.

It is a super-2 number, since 2×33547561316432 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (3354756131843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1374003 + ... + 2932131.

It is an arithmetic number, because the mean of its divisors is an integer number (87392395440).

Almost surely, 23354756131643 is an apocalyptic number.

3354756131643 is a deficient number, since it is larger than the sum of its proper divisors (2238357176517).

3354756131643 is a wasteful number, since it uses less digits than its factorization.

3354756131643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558356.

The product of its digits is 8164800, while the sum is 51.

The spelling of 3354756131643 in words is "three trillion, three hundred fifty-four billion, seven hundred fifty-six million, one hundred thirty-one thousand, six hundred forty-three".

Divisors: 1 3 7 17 21 37 51 111 119 163 259 357 489 629 777 1141 1887 2771 3423 4403 6031 8313 13209 18093 19397 42217 58191 102527 126651 307581 717689 1558129 2153067 4674387 10906903 26488193 32720709 57650773 79464579 172952319 185417351 253975027 403555411 556252053 761925081 980063141 1210666233 1777825189 2940189423 4317575459 5333475567 6860441987 9397075999 12952726377 20581325961 28191227997 30223028213 65779531993 90669084639 159750291983 197338595979 479250875949 1118252043881 3354756131643