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61261221360 = 2435293986851
BaseRepresentation
bin111001000011011101…
…000000110111110000
312212010101210111012110
4321003131000313300
52000430333040420
644050520325320
74266052534623
oct710335006760
9185111714173
1061261221360
1123a873a9369
12ba58313840
135a13b38511
142d7219bdba
1518d8332ee0
hexe43740df0

61261221360 has 80 divisors (see below), whose sum is σ = 189976590720. Its totient is φ = 16330579200.

The previous prime is 61261221319. The next prime is 61261221367. The reversal of 61261221360 is 6312216216.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61261221367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 661935 + ... + 748785.

It is an arithmetic number, because the mean of its divisors is an integer number (2374707384).

Almost surely, 261261221360 is an apocalyptic number.

61261221360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61261221360 is an abundant number, since it is smaller than the sum of its proper divisors (128715369360).

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

61261221360 is a wasteful number, since it uses less digits than its factorization.

61261221360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89806 (or 89800 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 61261221360 its reverse (6312216216), we get a palindrome (67573437576).

The spelling of 61261221360 in words is "sixty-one billion, two hundred sixty-one million, two hundred twenty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2939 5878 8817 11756 14695 17634 23512 29390 35268 44085 47024 58780 70536 86851 88170 117560 141072 173702 176340 235120 260553 347404 352680 434255 521106 694808 705360 868510 1042212 1302765 1389616 1737020 2084424 2605530 3474040 4168848 5211060 6948080 10422120 20844240 255255089 510510178 765765267 1021020356 1276275445 1531530534 2042040712 2552550890 3063061068 3828826335 4084081424 5105101780 6126122136 7657652670 10210203560 12252244272 15315305340 20420407120 30630610680 61261221360