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132836923024 = 241324321632
BaseRepresentation
bin111101110110110110…
…0101001011010010000
3110200212122002212101221
41323231230221122100
54134022223014044
6141005140134424
712411552133651
oct1735554513220
9420778085357
10132836923024
1151376a86413
12218b2997414
13c6ac85bc00
146602181528
1536c6e43484
hex1eedb29690

132836923024 has 135 divisors (see below), whose sum is σ = 287085392937. Its totient is φ = 59516166528.

The previous prime is 132836923001. The next prime is 132836923061. The reversal of 132836923024 is 420329638231.

The square root of 132836923024 is 364468.

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., 19650432400 + 113186490624 = 140180^2 + 336432^2 .

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 814950367 + ... + 814950529.

Almost surely, 2132836923024 is an apocalyptic number.

132836923024 is the 364468-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132836923024

132836923024 is an abundant number, since it is smaller than the sum of its proper divisors (154248469913).

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

132836923024 is an equidigital number, since it uses as much as digits as its factorization.

132836923024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 43.

The spelling of 132836923024 in words is "one hundred thirty-two billion, eight hundred thirty-six million, nine hundred twenty-three thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 43 52 86 104 163 169 172 208 326 338 344 559 652 676 688 1118 1304 1352 1849 2119 2236 2608 2704 3698 4238 4472 7009 7267 7396 8476 8944 14018 14534 14792 16952 24037 26569 27547 28036 29068 29584 33904 48074 53138 55094 56072 58136 91117 96148 106276 110188 112144 116272 182234 192296 212552 220376 301387 312481 345397 364468 384592 425104 440752 602774 624962 690794 728936 1142467 1184521 1205548 1249924 1381588 1457872 2284934 2369042 2411096 2499848 2763176 3918031 4490161 4569868 4738084 4822192 4999696 5526352 7836062 8980322 9139736 9476168 14852071 15672124 17960644 18279472 18952336 29704142 31344248 35921288 49126081 50934403 59408284 62688496 71842576 98252162 101868806 118816568 193076923 196504324 203737612 237633136 386153846 393008648 407475224 638639053 772307692 786017296 814950448 1277278106 1544615384 2554556212 3089230768 5109112424 8302307689 10218224848 16604615378 33209230756 66418461512 132836923024