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200679834154801 = 172397220992
BaseRepresentation
bin101101101000010001101010…
…001110100111011100110001
3222022112210201200112101012211
4231220101222032213130301
5202300414300020423201
61550451013150452121
760161432240301451
oct5550215216473461
9868483650471184
10200679834154801
1158a40926738a81
121a61111a504041
1387c9047895031
14377ad549d1d61
151830222a6b651
hexb6846a3a7731

200679834154801 has 27 divisors (see below), whose sum is σ = 213819118485249. Its totient is φ = 188309625280128.

The previous prime is 200679834154783. The next prime is 200679834154819. The reversal of 200679834154801 is 108451438976002.

The square root of 200679834154801 is 14166151.

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

200679834154801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200679834154783) and next prime (200679834154819).

It can be written as a sum of positive squares in 4 ways, for example, as 41011843594401 + 159667990560400 = 6404049^2 + 12635980^2 .

It is not a de Polignac number, because 200679834154801 - 27 = 200679834154673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200679834154831) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 95607352050 + ... + 95607354148.

It is a 1-persistent number, because it is pandigital, but 2⋅200679834154801 = 401359668309602 is not.

Almost surely, 2200679834154801 is an apocalyptic number.

200679834154801 is the 14166151-st square number.

200679834154801 is the 7083076-th centered octagonal number.

It is an amenable number.

200679834154801 is a deficient number, since it is larger than the sum of its proper divisors (13139284330448).

200679834154801 is an frugal number, since it uses more digits than its factorization.

200679834154801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5026 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 58.

The spelling of 200679834154801 in words is "two hundred trillion, six hundred seventy-nine billion, eight hundred thirty-four million, one hundred fifty-four thousand, eight hundred one".

Divisors: 1 17 289 397 2099 6749 35683 114733 157609 606611 833303 2679353 4405801 14166151 45549001 74898617 240824567 330821291 1273276489 1749102997 5623961947 29734750949 95607353099 505490766133 694393889809 11804696126753 200679834154801