Search a number
-
+
5349072709435 = 57134110112492273
BaseRepresentation
bin100110111010110110110…
…0101000010011100111011
3200221100220002000002021011
41031311231211002130323
51200114400103200220
615213155144054351
71061313002556310
oct115655545023473
920840802002234
105349072709435
111782590104774
127248297643b7
132ca552802540
14146c79dd6d07
159421d15765a
hex4dd6d94273b

5349072709435 has 128 divisors (see below), whose sum is σ = 8183125440000. Its totient is φ = 3266445312000.

The previous prime is 5349072709423. The next prime is 5349072709459.

5349072709435 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5349072709435 - 211 = 5349072707387 is a prime.

It is a super-2 number, since 2×53490727094352 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5349072709435.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2353308459 + ... + 2353310731.

It is an arithmetic number, because the mean of its divisors is an integer number (63930667500).

Almost surely, 25349072709435 is an apocalyptic number.

5349072709435 is a deficient number, since it is larger than the sum of its proper divisors (2834052730565).

5349072709435 is a wasteful number, since it uses less digits than its factorization.

5349072709435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3689.

The product of its (nonzero) digits is 28576800, while the sum is 58.

The spelling of 5349072709435 in words is "five trillion, three hundred forty-nine billion, seventy-two million, seven hundred nine thousand, four hundred thirty-five".

Divisors: 1 5 7 13 35 41 65 91 101 205 287 455 505 533 707 1249 1313 1435 2273 2665 3535 3731 4141 6245 6565 8743 9191 11365 15911 16237 18655 20705 28987 29549 43715 45955 51209 53833 79555 81185 93193 113659 126149 144935 147745 206843 229573 256045 269165 358463 376831 465965 568295 630745 652351 665717 883043 1034215 1147865 1211509 1607011 1639937 1792315 1884155 2838977 2984449 3261755 3328585 4415215 4660019 5172109 6057545 8035055 8199685 8480563 9412493 11479559 14194885 14922245 19872839 20891143 23300095 25860545 36204763 36906701 42402815 47062465 57397795 65887451 67237417 99364195 104455715 116398057 122362409 181023815 184533505 258346907 286736677 329437255 336187085 470661919 581990285 611812045 814786399 856536863 1291734535 1433683385 1513174741 2007156739 2353309595 3727576801 4073931995 4282684315 7565873705 10035783695 10592223187 11756203757 18637884005 26093037607 52961115935 58781018785 82293426299 130465188035 152830648841 411467131495 764153244205 1069814541887 5349072709435