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61360431552 = 2637762627
BaseRepresentation
bin111001001001010111…
…011110000111000000
312212101022110220000000
4321021113132013000
52001131232302202
644104423000000
74301366030310
oct711127360700
9185338426000
1061360431552
1124028400462
12ba85599000
135a2b563684
142d81425440
1518e1dcd91c
hexe495de1c0

61360431552 has 224 divisors, whose sum is σ = 208706557440. Its totient is φ = 17531271936.

The previous prime is 61360431547. The next prime is 61360431611. The reversal of 61360431552 is 25513406316.

61360431552 is a `hidden beast` number, since 6 + 1 + 3 + 60 + 43 + 1 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 948463 + ... + 1011089.

Almost surely, 261360431552 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 61360431552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104353278720).

61360431552 is an abundant number, since it is smaller than the sum of its proper divisors (147346125888).

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

61360431552 is an frugal number, since it uses more digits than its factorization.

61360431552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62667 (or 62639 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 61360431552 its reverse (25513406316), we get a palindrome (86873837868).

The spelling of 61360431552 in words is "sixty-one billion, three hundred sixty million, four hundred thirty-one thousand, five hundred fifty-two".