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61064480420 = 22517218158369
BaseRepresentation
bin111000110111101110…
…100000011010100100
312211121200121000100222
4320313232200122210
52000030001333140
644015211423512
74261143343106
oct706756403244
9184550530328
1061064480420
1123996341a49
12ba02454b98
1359b2152768
142d53dc7576
1518c5e1e5b5
hexe37ba06a4

61064480420 has 72 divisors (see below), whose sum is σ = 136977345960. Its totient is φ = 22861578240.

The previous prime is 61064480401. The next prime is 61064480423. The reversal of 61064480420 is 2408446016.

61064480420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 13446257764 + 47618222656 = 115958^2 + 218216^2 .

It is not an unprimeable number, because it can be changed into a prime (61064480423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1016996 + ... + 1075364.

Almost surely, 261064480420 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 61064480420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68488672980).

61064480420 is an abundant number, since it is smaller than the sum of its proper divisors (75912865540).

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

61064480420 is a wasteful number, since it uses less digits than its factorization.

61064480420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58593 (or 58574 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The spelling of 61064480420 in words is "sixty-one billion, sixty-four million, four hundred eighty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 181 289 340 362 578 724 905 1156 1445 1810 2890 3077 3620 5780 6154 12308 15385 30770 52309 58369 61540 104618 116738 209236 233476 261545 291845 523090 583690 992273 1046180 1167380 1984546 3969092 4961365 9922730 10564789 16868641 19845460 21129578 33737282 42259156 52823945 67474564 84343205 105647890 168686410 179601413 211295780 337372820 359202826 718405652 898007065 1796014130 3053224021 3592028260 6106448042 12212896084 15266120105 30532240210 61064480420