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1926843819664 = 24163221292
BaseRepresentation
bin11100000010100000110…
…101110110011010010000
320211012112001120211121111
4130002200311312122100
5223032134004212124
64033102502103104
7256131662142331
oct34024065663220
96735461524544
101926843819664
11683196115815
1227152811aa94
1310c9152814ba
146938ca18288
15351c5777494
hex1c0a0d76690

1926843819664 has 45 divisors (see below), whose sum is σ = 3758069027433. Its totient is φ = 957061598976.

The previous prime is 1926843819653. The next prime is 1926843819671. The reversal of 1926843819664 is 4669183486291.

The square root of 1926843819664 is 1388108.

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., 487611717264 + 1439232102400 = 698292^2 + 1199680^2 .

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 1926843819664.

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 8 ways as a sum of consecutive naturals, for example, 905045352 + ... + 905047480.

Almost surely, 21926843819664 is an apocalyptic number.

1926843819664 is the 1388108-th square number.

It is an amenable number.

1926843819664 is a deficient number, since it is larger than the sum of its proper divisors (1831225207769).

1926843819664 is an frugal number, since it uses more digits than its factorization.

1926843819664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4592 (or 2294 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 67.

The spelling of 1926843819664 in words is "one trillion, nine hundred twenty-six billion, eight hundred forty-three million, eight hundred nineteen thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 163 326 652 1304 2129 2608 4258 8516 17032 26569 34064 53138 106276 212552 347027 425104 694054 1388108 2776216 4532641 5552432 9065282 18130564 36261128 56565401 72522256 113130802 226261604 452523208 738820483 905046416 1477640966 2955281932 5910563864 11821127728 120427738729 240855477458 481710954916 963421909832 1926843819664