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1361019664 = 242324012
BaseRepresentation
bin101000100011111…
…1000001100010000
310111211222221222201
41101013320030100
510241410112124
6343015212544
745504322234
oct12107701420
93454887881
101361019664
11639295244
1231b977154
13188c810a4
14cca865c4
157e745144
hex511f8310

1361019664 has 45 divisors (see below), whose sum is σ = 2763503029. Its totient is φ = 649299200.

The previous prime is 1361019637. The next prime is 1361019689. The reversal of 1361019664 is 4669101631.

The square root of 1361019664 is 36892.

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., 1347477264 + 13542400 = 36708^2 + 3680^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3393864 + ... + 3394264.

Almost surely, 21361019664 is an apocalyptic number.

1361019664 is the 36892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361019664

1361019664 is an abundant number, since it is smaller than the sum of its proper divisors (1402483365).

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

1361019664 is an frugal number, since it uses more digits than its factorization.

1361019664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The cubic root of 1361019664 is about 1108.2084738510.

The spelling of 1361019664 in words is "one billion, three hundred sixty-one million, nineteen thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 23 46 92 184 368 401 529 802 1058 1604 2116 3208 4232 6416 8464 9223 18446 36892 73784 147568 160801 212129 321602 424258 643204 848516 1286408 1697032 2572816 3394064 3698423 7396846 14793692 29587384 59174768 85063729 170127458 340254916 680509832 1361019664