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5466427360 = 255374612003
BaseRepresentation
bin1010001011101001…
…10000111111100000
3112002222001021121121
411011310300333200
542143401133420
62302232302024
7252314603002
oct50564607740
915088037547
105466427360
112355723869
121086841914
1369168a804
1439bdd8372
1521ed8c2aa
hex145d30fe0

5466427360 has 96 divisors (see below), whose sum is σ = 13298880672. Its totient is φ = 2121799680.

The previous prime is 5466427327. The next prime is 5466427361. The reversal of 5466427360 is 637246645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5466427361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2728119 + ... + 2730121.

It is an arithmetic number, because the mean of its divisors is an integer number (138530007).

Almost surely, 25466427360 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 5466427360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6649440336).

5466427360 is an abundant number, since it is smaller than the sum of its proper divisors (7832453312).

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

5466427360 is a wasteful number, since it uses less digits than its factorization.

5466427360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2516 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 43.

The square root of 5466427360 is about 73935.2917083581. The cubic root of 5466427360 is about 1761.5752254048.

The spelling of 5466427360 in words is "five billion, four hundred sixty-six million, four hundred twenty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 461 592 740 922 1184 1480 1844 2003 2305 2960 3688 4006 4610 5920 7376 8012 9220 10015 14752 16024 17057 18440 20030 32048 34114 36880 40060 64096 68228 73760 74111 80120 85285 136456 148222 160240 170570 272912 296444 320480 341140 370555 545824 592888 682280 741110 923383 1185776 1364560 1482220 1846766 2371552 2729120 2964440 3693532 4616915 5928880 7387064 9233830 11857760 14774128 18467660 29548256 34165171 36935320 68330342 73870640 136660684 147741280 170825855 273321368 341651710 546642736 683303420 1093285472 1366606840 2733213680 5466427360