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10159833616 = 2411322232
BaseRepresentation
bin10010111011001001…
…01100001000010000
3222020001112000121221
421131210230020100
5131301404133431
64400052254424
7506525106112
oct113544541020
928201460557
1010159833616
114343a63409
121b76611414
13c5bb5028a
146c548b3b2
153e6e31111
hex25d92c210

10159833616 has 45 divisors (see below), whose sum is σ = 19949879469. Its totient is φ = 5012383488.

The previous prime is 10159833611. The next prime is 10159833707. The reversal of 10159833616 is 61633895101.

It is a happy number.

The square root of 10159833616 is 100796.

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., 179024400 + 9980809216 = 13380^2 + 99904^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10159833611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 45559681 + ... + 45559903.

Almost surely, 210159833616 is an apocalyptic number.

10159833616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10159833616 is the 100796-th square number.

It is an amenable number.

10159833616 is a deficient number, since it is larger than the sum of its proper divisors (9790045853).

10159833616 is an frugal number, since it uses more digits than its factorization.

10159833616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The spelling of 10159833616 in words is "ten billion, one hundred fifty-nine million, eight hundred thirty-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 113 223 226 446 452 892 904 1784 1808 3568 12769 25199 25538 49729 50398 51076 99458 100796 102152 198916 201592 204304 397832 403184 795664 2847487 5619377 5694974 11238754 11389948 22477508 22779896 44955016 45559792 89910032 634989601 1269979202 2539958404 5079916808 10159833616