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5166321792336 = 243379337449201
BaseRepresentation
bin100101100101110000011…
…0001100111010101010000
3200021220011211220121012000
41023023200301213111100
51134121111334323321
614553213033434000
71042153161445605
oct113134061472520
920256154817160
105166321792336
11171202aa69891
126b532686b900
132b6249c878c3
1413c0a0b126ac
158e5c41ac826
hex4b2e0c67550

5166321792336 has 160 divisors (see below), whose sum is σ = 15061563379200. Its totient is φ = 1695259238400.

The previous prime is 5166321792323. The next prime is 5166321792353. The reversal of 5166321792336 is 6332971236615.

5166321792336 is a `hidden beast` number, since 5 + 1 + 6 + 6 + 3 + 217 + 92 + 336 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11276536 + ... + 11725736.

It is an arithmetic number, because the mean of its divisors is an integer number (94134771120).

Almost surely, 25166321792336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5166321792336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7530781689600).

5166321792336 is an abundant number, since it is smaller than the sum of its proper divisors (9895241586864).

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

5166321792336 is a wasteful number, since it uses less digits than its factorization.

5166321792336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449634 (or 449622 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 54.

The spelling of 5166321792336 in words is "five trillion, one hundred sixty-six billion, three hundred twenty-one million, seven hundred ninety-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 108 144 158 216 237 316 337 432 474 632 674 711 948 1011 1264 1348 1422 1896 2022 2133 2696 2844 3033 3792 4044 4266 5392 5688 6066 8088 8532 9099 11376 12132 16176 17064 18198 24264 26623 34128 36396 48528 53246 72792 79869 106492 145584 159738 212984 239607 319476 425968 449201 479214 638952 718821 898402 958428 1277904 1347603 1437642 1796804 1916856 2695206 2875284 3593608 3833712 4042809 5390412 5750568 7187216 8085618 10780824 11501136 12128427 16171236 21561648 24256854 32342472 35486879 48513708 64684944 70973758 97027416 106460637 141947516 151380737 194054832 212921274 283895032 302761474 319381911 425842548 454142211 567790064 605522948 638763822 851685096 908284422 958145733 1211045896 1277527644 1362426633 1703370192 1816568844 1916291466 2422091792 2555055288 2724853266 3633137688 3832582932 4087279899 5110110576 5449706532 7266275376 7665165864 8174559798 10899413064 11959078223 15330331728 16349119596 21798826128 23918156446 32698239192 35877234669 47836312892 65396478384 71754469338 95672625784 107631704007 143508938676 191345251568 215263408014 287017877352 322895112021 430526816028 574035754704 645790224042 861053632056 1291580448084 1722107264112 2583160896168 5166321792336