Search a number
-
+
76347531720 = 2334541574733
BaseRepresentation
bin100011100011010101…
…0101110000111001000
321022001210100110110000
41013012222232013020
52222324432003340
655023520323000
75341651212015
oct1070652560710
9238053313400
1076347531720
112a419211659
1212968773460
137279513c95
1439a3a4c70c
151ebc9e5d30
hex11c6aae1c8

76347531720 has 160 divisors (see below), whose sum is σ = 262871836920. Its totient is φ = 19862737920.

The previous prime is 76347531713. The next prime is 76347531721. The reversal of 76347531720 is 2713574367.

76347531720 is a `hidden beast` number, since 7 + 6 + 3 + 47 + 531 + 72 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 66356729604 + 9990802116 = 257598^2 + 99954^2 .

It is a super-3 number, since 3×763475317203 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (76347531721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 154527 + ... + 420206.

Almost surely, 276347531720 is an apocalyptic number.

It is an amenable number.

76347531720 is an abundant number, since it is smaller than the sum of its proper divisors (186524305200).

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

76347531720 is a wasteful number, since it uses less digits than its factorization.

76347531720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574797 (or 574784 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 76347531720 in words is "seventy-six billion, three hundred forty-seven million, five hundred thirty-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 41 45 54 60 72 81 82 90 108 120 123 135 162 164 180 205 216 246 270 324 328 360 369 405 410 492 540 615 648 738 810 820 984 1080 1107 1230 1476 1620 1640 1845 2214 2460 2952 3240 3321 3690 4428 4920 5535 6642 7380 8856 11070 13284 14760 16605 22140 26568 33210 44280 66420 132840 574733 1149466 1724199 2298932 2873665 3448398 4597864 5172597 5747330 6896796 8620995 10345194 11494660 13793592 15517791 17241990 20690388 22989320 23564053 25862985 31035582 34483980 41380776 46553373 47128106 51725970 62071164 68967960 70692159 77588955 93106746 94256212 103451940 117820265 124142328 141384318 155177910 186213492 188512424 206903880 212076477 232766865 235640530 282768636 310355820 353460795 372426984 424152954 465533730 471281060 565537272 620711640 636229431 706921590 848305908 931067460 942562120 1060382385 1272458862 1413843180 1696611816 1862134920 1908688293 2120764770 2544917724 2827686360 3181147155 3817376586 4241529540 5089835448 6362294310 7634753172 8483059080 9543441465 12724588620 15269506344 19086882930 25449177240 38173765860 76347531720