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61842065896 = 23132539292
BaseRepresentation
bin111001100110000100…
…110000100111101000
312220121212202110010001
4321212010300213220
52003123032102041
644224310032344
74316334613132
oct714604604750
9186555673101
1061842065896
1124255263476
12bb9a9486b4
135aa7288200
142dc939a052
15191e31a131
hexe661309e8

61842065896 has 72 divisors (see below), whose sum is σ = 128066421330. Its totient is φ = 27973810176.

The previous prime is 61842065867. The next prime is 61842065941. The reversal of 61842065896 is 69856024816.

It can be written as a sum of positive squares in 9 ways, for example, as 15782896900 + 46059168996 = 125630^2 + 214614^2 .

It is a super-2 number, since 2×618420658962 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 66567960 + ... + 66568888.

Almost surely, 261842065896 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 61842065896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64033210665).

61842065896 is an abundant number, since it is smaller than the sum of its proper divisors (66224355434).

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

61842065896 is an equidigital number, since it uses as much as digits as its factorization.

61842065896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1943 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 55.

The spelling of 61842065896 in words is "sixty-one billion, eight hundred forty-two million, sixty-five thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 26 52 53 104 106 169 212 338 424 676 689 929 1352 1378 1858 2756 3716 5512 7432 8957 12077 17914 24154 35828 48308 49237 71656 96616 98474 157001 196948 314002 393896 628004 640081 863041 1256008 1280162 1726082 2560324 3452164 5120648 6904328 8321053 11219533 16642106 22439066 33284212 44878132 45741173 66568424 89756264 91482346 145853929 182964692 291707858 365929384 583415716 594635249 1166831432 1189270498 2378540996 4757081992 7730258237 15460516474 30921032948 61842065896