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5325809760 = 2532510933931
BaseRepresentation
bin1001111010111000…
…10110100001100000
3111202011110011112100
410331130112201200
541401401403020
62240250330400
7245656431105
oct47534264140
914664404470
105325809760
11229330a777
121047729a00
1366b4c532b
14387472aac
15212862a90
hex13d716860

5325809760 has 144 divisors (see below), whose sum is σ = 18341603280. Its totient is φ = 1407144960.

The previous prime is 5325809693. The next prime is 5325809771. The reversal of 5325809760 is 679085235.

It is a happy number.

5325809760 is a `hidden beast` number, since 5 + 3 + 2 + 580 + 9 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×53258097602 = 56728499199422515200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139995 + ... + 173925.

It is an arithmetic number, because the mean of its divisors is an integer number (127372245).

Almost surely, 25325809760 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 5325809760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9170801640).

5325809760 is an abundant number, since it is smaller than the sum of its proper divisors (13015793520).

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

5325809760 is a wasteful number, since it uses less digits than its factorization.

5325809760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34061 (or 34050 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 5325809760 is about 72978.1457698125. The cubic root of 5325809760 is about 1746.3389870187.

The spelling of 5325809760 in words is "five billion, three hundred twenty-five million, eight hundred nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 109 120 144 160 180 218 240 288 327 360 436 480 545 654 720 872 981 1090 1308 1440 1635 1744 1962 2180 2616 3270 3488 3924 4360 4905 5232 6540 7848 8720 9810 10464 13080 15696 17440 19620 26160 31392 33931 39240 52320 67862 78480 101793 135724 156960 169655 203586 271448 305379 339310 407172 508965 542896 610758 678620 814344 1017930 1085792 1221516 1357240 1526895 1628688 2035860 2443032 2714480 3053790 3257376 3698479 4071720 4886064 5428960 6107580 7396958 8143440 9772128 11095437 12215160 14793916 16286880 18492395 22190874 24430320 29587832 33286311 36984790 44381748 48860640 55477185 59175664 66572622 73969580 88763496 110954370 118351328 133145244 147939160 166431555 177526992 221908740 266290488 295878320 332863110 355053984 443817480 532580976 591756640 665726220 887634960 1065161952 1331452440 1775269920 2662904880 5325809760