Search a number
-
+
990610146436 = 22307216212
BaseRepresentation
bin11100110101001001111…
…01110100010010000100
310111200221022202102220211
432122210331310102010
5112212232144141221
62035025141205204
7131366146212451
oct16324475642204
93450838672824
10990610146436
1135212a669a39
1213bba1400804
137254cb1a381
1435d3534c828
151ab7c22c6e1
hexe6a4f74484

990610146436 has 27 divisors (see below), whose sum is σ = 1740306550437. Its totient is φ = 493387141680.

The previous prime is 990610146433. The next prime is 990610146467. The reversal of 990610146436 is 634641016099.

It is a happy number.

The square root of 990610146436 is 995294.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 761245780036 + 229364366400 = 872494^2 + 478920^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 990610146436.

It is not an unprimeable number, because it can be changed into a prime (990610146433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 611109706 + ... + 611111326.

Almost surely, 2990610146436 is an apocalyptic number.

990610146436 is the 995294-th square number.

It is an amenable number.

990610146436 is a deficient number, since it is larger than the sum of its proper divisors (749696404001).

990610146436 is an frugal number, since it uses more digits than its factorization.

990610146436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3860 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 49.

Multiplying 990610146436 by its sum of digits (49), we get a square (48539897175364 = 69670582).

The spelling of 990610146436 in words is "nine hundred ninety billion, six hundred ten million, one hundred forty-six thousand, four hundred thirty-six".

Divisors: 1 2 4 307 614 1228 1621 3242 6484 94249 188498 376996 497647 995294 1990588 2627641 5255282 10510564 152777629 305555258 611110516 806685787 1613371574 3226743148 247652536609 495305073218 990610146436