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5378672360 = 23523311031831
BaseRepresentation
bin1010000001001100…
…00000011011101000
3111212211220212101102
411000212000123220
542003420003420
62245415340532
7250200650345
oct50046003350
914784825342
105378672360
112310136176
121061381748
13679443689
143904b37cc
15217305a75
hex1409806e8

5378672360 has 128 divisors (see below), whose sum is σ = 13169295360. Its totient is φ = 1971129600.

The previous prime is 5378672359. The next prime is 5378672443. The reversal of 5378672360 is 632768735.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2936645 + ... + 2938475.

It is an arithmetic number, because the mean of its divisors is an integer number (102885120).

Almost surely, 25378672360 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 5378672360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6584647680).

5378672360 is an abundant number, since it is smaller than the sum of its proper divisors (7790623000).

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

5378672360 is a wasteful number, since it uses less digits than its factorization.

5378672360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 47.

The square root of 5378672360 is about 73339.4325039402. The cubic root of 5378672360 is about 1752.0978770128.

The spelling of 5378672360 in words is "five billion, three hundred seventy-eight million, six hundred seventy-two thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 23 31 40 46 62 92 103 115 124 155 184 206 230 248 310 412 460 515 620 713 824 920 1030 1240 1426 1831 2060 2369 2852 3193 3565 3662 4120 4738 5704 6386 7130 7324 9155 9476 11845 12772 14260 14648 15965 18310 18952 23690 25544 28520 31930 36620 42113 47380 56761 63860 73240 73439 84226 94760 113522 127720 146878 168452 188593 210565 227044 283805 293756 336904 367195 377186 421130 454088 567610 587512 734390 754372 842260 942965 1135220 1305503 1468780 1508744 1684520 1885930 2270440 2611006 2937560 3771860 4337639 5222012 5846383 6527515 7543720 8675278 10444024 11692766 13055030 17350556 21688195 23385532 26110060 29231915 34701112 43376390 46771064 52220120 58463830 86752780 116927660 134466809 173505560 233855320 268933618 537867236 672334045 1075734472 1344668090 2689336180 5378672360