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61106000000 = 275630553
BaseRepresentation
bin111000111010001100…
…111001000010000000
312211201120201102112012
4320322030321002000
52000121114000000
644023253352052
74262156300333
oct707214710200
9184646642465
1061106000000
1123a07820251
12ba14338628
1359ba92bb66
142d5971461a
1518c98c1735
hexe3a339080

61106000000 has 112 divisors (see below), whose sum is σ = 152171294370. Its totient is φ = 24441600000.

The previous prime is 61105999957. The next prime is 61106000003. The reversal of 61106000000 is 60116.

It can be written as a sum of positive squares in 7 ways, for example, as 42525038656 + 18580961344 = 206216^2 + 136312^2 .

It is not an unprimeable number, because it can be changed into a prime (61106000003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1984724 + ... + 2015276.

Almost surely, 261106000000 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 61106000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76085647185).

61106000000 is an abundant number, since it is smaller than the sum of its proper divisors (91065294370).

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

61106000000 is an frugal number, since it uses more digits than its factorization.

61106000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30597 (or 30560 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 61106000000 its reverse (60116), we get a palindrome (61106060116).

The spelling of 61106000000 in words is "sixty-one billion, one hundred six million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 30553 31250 40000 50000 61106 62500 80000 100000 122212 125000 152765 200000 244424 250000 305530 400000 488848 500000 611060 763825 977696 1000000 1222120 1527650 1955392 2000000 2444240 3055300 3819125 3910784 4888480 6110600 7638250 9776960 12221200 15276500 19095625 19553920 24442400 30553000 38191250 48884800 61106000 76382500 95478125 97769600 122212000 152765000 190956250 244424000 305530000 381912500 477390625 488848000 611060000 763825000 954781250 1222120000 1527650000 1909562500 2444240000 3055300000 3819125000 6110600000 7638250000 12221200000 15276500000 30553000000 61106000000