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61264552140 = 2232511237917029
BaseRepresentation
bin111001000011101001…
…101110000011001100
312212010122001201011200
4321003221232003030
52000432211132030
644051115545500
74266123046431
oct710351560314
9185118051150
1061264552140
1123a89273880
12ba5945b290
135a147335ac
142d727c7b88
1518d878ed60
hexe43a6e0cc

61264552140 has 288 divisors, whose sum is σ = 214234675200. Its totient is φ = 14025623040.

The previous prime is 61264552121. The next prime is 61264552171. The reversal of 61264552140 is 4125546216.

61264552140 is a `hidden beast` number, since 6 + 1 + 2 + 64 + 552 + 1 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 61264552095 and 61264552104.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3589146 + ... + 3606174.

It is an arithmetic number, because the mean of its divisors is an integer number (743870400).

Almost surely, 261264552140 is an apocalyptic number.

61264552140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61264552140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107117337600).

61264552140 is an abundant number, since it is smaller than the sum of its proper divisors (152970123060).

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

61264552140 is a wasteful number, since it uses less digits than its factorization.

61264552140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17157 (or 17152 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 61264552140 in words is "sixty-one billion, two hundred sixty-four million, five hundred fifty-two thousand, one hundred forty".