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5069007360 = 29325220009
BaseRepresentation
bin1001011100010001…
…01110101000000000
3111002021020020212100
410232020232220000
540340131213420
62154554230400
7236420565054
oct45610565000
914067206770
105069007360
11217136028a
12b95725400
1362a240651
14361305c64
151ea038190
hex12e22ea00

5069007360 has 120 divisors (see below), whose sum is σ = 17555477940. Its totient is φ = 1351729152.

The previous prime is 5069007343. The next prime is 5069007367. The reversal of 5069007360 is 637009605.

It is a happy number.

5069007360 is a `hidden beast` number, since 506 + 90 + 0 + 7 + 3 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4837480704 + 231526656 = 69552^2 + 15216^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5069007367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86965 + ... + 133044.

Almost surely, 25069007360 is an apocalyptic number.

It is an amenable number.

5069007360 is an abundant number, since it is smaller than the sum of its proper divisors (12486470580).

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

5069007360 is a wasteful number, since it uses less digits than its factorization.

5069007360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220038 (or 220019 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 5069007360 is about 71196.9617329279. The cubic root of 5069007360 is about 1717.8067592139.

The spelling of 5069007360 in words is "five billion, sixty-nine million, seven thousand, three 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 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 220009 440018 660027 880036 1100045 1320054 1760072 1980081 2200090 2640108 3300135 3520144 3960162 4400180 5280216 6600270 7040288 7920324 8800360 9900405 10560432 13200540 14080576 15840648 17600720 19800810 21120864 26401080 28161152 31681296 35201440 39601620 42241728 52802160 56322304 63362592 70402880 79203240 84483456 105604320 112644608 126725184 140805760 158406480 168966912 211208640 253450368 281611520 316812960 337933824 422417280 506900736 563223040 633625920 844834560 1013801472 1267251840 1689669120 2534503680 5069007360