Search a number
-
+
200445061264 = 2472534823957
BaseRepresentation
bin1011101010101101110…
…1001110100010010000
3201011101100202010202221
42322223131032202100
511241002413430024
6232025545150424
720324133623500
oct2725335164220
9634340663687
10200445061264
1178010014328
1232a2078b414
1315b955a9c36
1499b7255a00
1553325893e4
hex2eab74e890

200445061264 has 60 divisors (see below), whose sum is σ = 460292424444. Its totient is φ = 84284159232.

The previous prime is 200445061231. The next prime is 200445061277. The reversal of 200445061264 is 462160544002.

200445061264 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 2 ways, for example, as 51896484864 + 148548576400 = 227808^2 + 385420^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2370427 + ... + 2453530.

Almost surely, 2200445061264 is an apocalyptic number.

It is an amenable number.

200445061264 is an abundant number, since it is smaller than the sum of its proper divisors (259847363180).

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

200445061264 is a wasteful number, since it uses less digits than its factorization.

200445061264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4824032 (or 4824019 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 200445061264 in words is "two hundred billion, four hundred forty-five million, sixty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 53 56 98 106 112 196 212 371 392 424 742 784 848 1484 2597 2968 5194 5936 10388 20776 41552 4823957 9647914 19295828 33767699 38591656 67535398 77183312 135070796 236373893 255669721 270141592 472747786 511339442 540283184 945495572 1022678884 1789688047 1890991144 2045357768 3579376094 3781982288 4090715536 7158752188 12527816329 14317504376 25055632658 28635008752 50111265316 100222530632 200445061264