Search a number
-
+
61001257104 = 2432423619841
BaseRepresentation
bin111000110011111101…
…010101000010010000
312211110021121221021200
4320303331111002100
51444412310211404
644005032351200
74256445062424
oct706375250220
9184407557250
1061001257104
112396368a377
12b9a5245500
1359a2017608
142d4984ab84
1518c05d1839
hexe33f55090

61001257104 has 30 divisors (see below), whose sum is σ = 170718796326. Its totient is φ = 20333752320.

The previous prime is 61001257039. The next prime is 61001257151. The reversal of 61001257104 is 40175210016.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 33094886400 + 27906370704 = 181920^2 + 167052^2 .

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 5 ways as a sum of consecutive naturals, for example, 211809777 + ... + 211810064.

Almost surely, 261001257104 is an apocalyptic number.

It is an amenable number.

61001257104 is an abundant number, since it is smaller than the sum of its proper divisors (109717539222).

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

61001257104 is a wasteful number, since it uses less digits than its factorization.

61001257104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423619855 (or 423619846 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 61001257104 in words is "sixty-one billion, one million, two hundred fifty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 423619841 847239682 1270859523 1694479364 2541719046 3388958728 3812578569 5083438092 6777917456 7625157138 10166876184 15250314276 20333752368 30500628552 61001257104