Search a number
-
+
7145412474552 = 23311173851413429
BaseRepresentation
bin110011111111010101111…
…0001011011011010111000
3221022002120002012001101220
41213332223301123122320
51414032301043141202
623110320203312040
71335144660622542
oct147765361333270
927262502161356
107145412474552
112305397074750
129749b421b620
133caa6a637791
141a9ba8616692
15c5d066a1abc
hex67fabc5b6b8

7145412474552 has 128 divisors (see below), whose sum is σ = 20639219385600. Its totient is φ = 2037373184000.

The previous prime is 7145412474521. The next prime is 7145412474581. The reversal of 7145412474552 is 2554742145417.

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

It is a junction number, because it is equal to n+sod(n) for n = 7145412474495 and 7145412474504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17076574 + ... + 17490002.

It is an arithmetic number, because the mean of its divisors is an integer number (161243901450).

Almost surely, 27145412474552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7145412474552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10319609692800).

7145412474552 is an abundant number, since it is smaller than the sum of its proper divisors (13493806911048).

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

7145412474552 is a wasteful number, since it uses less digits than its factorization.

7145412474552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417317 (or 417313 counting only the distinct ones).

The product of its digits is 6272000, while the sum is 51.

The spelling of 7145412474552 in words is "seven trillion, one hundred forty-five billion, four hundred twelve million, four hundred seventy-four thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 3851 4488 7702 11553 15404 23106 30808 42361 46212 65467 84722 92424 127083 130934 169444 196401 254166 261868 338888 392802 413429 508332 523736 720137 785604 826858 1016664 1240287 1440274 1571208 1653716 2160411 2480574 2880548 3307432 4320822 4547719 4961148 5761096 7028293 8641644 9095438 9922296 13643157 14056586 17283288 18190876 21084879 27286314 28113172 36381752 42169758 54572628 56226344 77311223 84339516 109145256 154622446 168679032 231933669 309244892 463867338 618489784 927734676 1592115079 1855469352 3184230158 4776345237 6368460316 9552690474 12736920632 17513265869 19105380948 27065956343 35026531738 38210761896 52539797607 54131912686 70053063476 81197869029 105079595214 108263825372 140106126952 162395738058 210159190428 216527650744 297725519773 324791476116 420318380856 595451039546 649582952232 893176559319 1190902079092 1786353118638 2381804158184 3572706237276 7145412474552