Search a number
-
+
9979078825024 = 2641296312
BaseRepresentation
bin1001000100110110111101…
…1100101101010001000000
31022022222202011100110001221
42101031233130231101000
52301444123134400044
633120154151404424
72046651606320131
oct221155734552100
938288664313057
109979078825024
1131a811592a671
121152019383714
1357503b98204a
14266dc0777c88
151248a33b6484
hex9136f72d440

9979078825024 has 63 divisors (see below), whose sum is σ = 20299103590053. Its totient is φ = 4867337894400.

The previous prime is 9979078825021. The next prime is 9979078825043. The reversal of 9979078825024 is 4205288709799.

The square root of 9979078825024 is 3158968.

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., 480847938624 + 9498230886400 = 693432^2 + 3081920^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9979078825021) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1036136689 + ... + 1036146319.

Almost surely, 29979078825024 is an apocalyptic number.

9979078825024 is the 3158968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9979078825024

9979078825024 is an abundant number, since it is smaller than the sum of its proper divisors (10320024765029).

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

9979078825024 is an frugal number, since it uses more digits than its factorization.

9979078825024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19356 (or 9674 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 70.

The spelling of 9979078825024 in words is "nine trillion, nine hundred seventy-nine billion, seventy-eight million, eight hundred twenty-five thousand, twenty-four".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 1681 2624 3362 6724 9631 13448 19262 26896 38524 53792 77048 107584 154096 308192 394871 616384 789742 1579484 3158968 6317936 12635872 16189711 25271744 32379422 64758844 92756161 129517688 185512322 259035376 371024644 518070752 742049288 1036141504 1484098576 2968197152 3803002601 5936394304 7606005202 15212010404 30424020808 60848041616 121696083232 155923106641 243392166464 311846213282 623692426564 1247384853128 2494769706256 4989539412512 9979078825024