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61389321300 = 22325268210357
BaseRepresentation
bin111001001011000101…
…101011010001010100
312212110022211122021200
4321023011223101110
52001211131240200
644111334112500
74302166423056
oct711305532124
9185408748250
1061389321300
112404274278a
12ba931ab730
135a3453a1b8
142d851c58d6
1518e46d8800
hexe4b16b454

61389321300 has 54 divisors (see below), whose sum is σ = 192421419918. Its totient is φ = 16370485440.

The previous prime is 61389321277. The next prime is 61389321307. The reversal of 61389321300 is 312398316.

61389321300 is a `hidden beast` number, since 61 + 389 + 3 + 213 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 12057357636 + 49331963664 = 109806^2 + 222108^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61389321307) 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 17 ways as a sum of consecutive naturals, for example, 34104279 + ... + 34106078.

Almost surely, 261389321300 is an apocalyptic number.

61389321300 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61389321300 is an abundant number, since it is smaller than the sum of its proper divisors (131032098618).

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

61389321300 is a wasteful number, since it uses less digits than its factorization.

61389321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68210377 (or 68210367 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 61389321300 in words is "sixty-one billion, three hundred eighty-nine million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 68210357 136420714 204631071 272841428 341051785 409262142 613893213 682103570 818524284 1023155355 1227786426 1364207140 1705258925 2046310710 2455572852 3069466065 3410517850 4092621420 5115776775 6138932130 6821035700 10231553550 12277864260 15347330325 20463107100 30694660650 61389321300