Search a number
-
+
3372426991353 = 373121271498831
BaseRepresentation
bin110001000100110100010…
…100000001011011111001
3102221101211020100200022110
4301010310110001123321
5420223212302210403
611101134354242533
7465435612310560
oct61046424013371
912841736320273
103372426991353
111090269132622
12465722b86449
131b60318524c4
14b93250d8bd7
155cad061c103
hex311345016f9

3372426991353 has 96 divisors (see below), whose sum is σ = 5388396134400. Its totient is φ = 1837626134400.

The previous prime is 3372426991343. The next prime is 3372426991357. The reversal of 3372426991353 is 3531996242733.

It is not a de Polignac number, because 3372426991353 - 26 = 3372426991289 is a prime.

It is a super-2 number, since 2×33724269913532 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3372426991293 and 3372426991302.

It is not an unprimeable number, because it can be changed into a prime (3372426991357) 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, 381880648 + ... + 381889478.

It is an arithmetic number, because the mean of its divisors is an integer number (56129126400).

Almost surely, 23372426991353 is an apocalyptic number.

It is an amenable number.

3372426991353 is a deficient number, since it is larger than the sum of its proper divisors (2015969143047).

3372426991353 is a wasteful number, since it uses less digits than its factorization.

3372426991353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9179 (or 9148 counting only the distinct ones).

The product of its digits is 22044960, while the sum is 57.

The spelling of 3372426991353 in words is "three trillion, three hundred seventy-two billion, four hundred twenty-six million, nine hundred ninety-one thousand, three hundred fifty-three".

Divisors: 1 3 7 21 31 93 127 149 217 381 447 651 889 961 1043 2667 2883 3129 3937 4619 6727 8831 11811 13857 18923 20181 26493 27559 32333 56769 61817 82677 96999 122047 132461 143189 185451 273761 366141 397383 429567 586613 821283 854329 1002323 1121537 1315819 1759839 1916327 2562987 3006969 3364611 3947457 4106291 5748981 7850759 8486591 9210733 12318873 18185003 23552277 25459773 27632199 34767647 40790389 54555009 59406137 104302941 122371167 127295021 167109013 178218411 243373529 285532723 381885063 501327039 730120587 856598169 1077797057 1169763091 1264502059 3233391171 3509289273 3793506177 5180379403 7544579399 8851514413 15541138209 22633738197 26554543239 36262655821 108787967463 160591761493 481775284479 1124142330451 3372426991353