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5346331776 = 27344112577
BaseRepresentation
bin1001111101010101…
…01000110010000000
3111210121001210110000
410332222220302000
541422130104101
62242302240000
7246326033052
oct47652506200
914717053400
105346331776
1122a3957215
121052586000
1367282c236
1438a0958d2
15214568486
hex13eaa8c80

5346331776 has 160 divisors (see below), whose sum is σ = 16299955980. Its totient is φ = 1738506240.

The previous prime is 5346331759. The next prime is 5346331867. The reversal of 5346331776 is 6771336435.

It is a happy number.

5346331776 is a `hidden beast` number, since 5 + 3 + 4 + 633 + 1 + 7 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5340686400 + 5645376 = 73080^2 + 2376^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 418800 + ... + 431376.

Almost surely, 25346331776 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 5346331776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8149977990).

5346331776 is an abundant number, since it is smaller than the sum of its proper divisors (10953624204).

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

5346331776 is a wasteful number, since it uses less digits than its factorization.

5346331776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12644 (or 12623 counting only the distinct ones).

The product of its digits is 952560, while the sum is 45.

The square root of 5346331776 is about 73118.6144288853. The cubic root of 5346331776 is about 1748.5791761067.

The spelling of 5346331776 in words is "five billion, three hundred forty-six million, three hundred thirty-one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 81 82 96 108 123 128 144 162 164 192 216 246 288 324 328 369 384 432 492 576 648 656 738 864 984 1107 1152 1296 1312 1476 1728 1968 2214 2592 2624 2952 3321 3456 3936 4428 5184 5248 5904 6642 7872 8856 10368 11808 12577 13284 15744 17712 23616 25154 26568 35424 37731 47232 50308 53136 70848 75462 100616 106272 113193 141696 150924 201232 212544 226386 301848 339579 402464 425088 452772 515657 603696 679158 804928 905544 1018737 1031314 1207392 1358316 1546971 1609856 1811088 2037474 2062628 2414784 2716632 3093942 3622176 4074948 4125256 4640913 4829568 5433264 6187884 7244352 8149896 8250512 9281826 10866528 12375768 13922739 14488704 16299792 16501024 18563652 21733056 24751536 27845478 32599584 33002048 37127304 41768217 43466112 49503072 55690956 65199168 66004096 74254608 83536434 99006144 111381912 130398336 148509216 167072868 198012288 222763824 297018432 334145736 445527648 594036864 668291472 891055296 1336582944 1782110592 2673165888 5346331776