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3805714426432 = 261740912017121
BaseRepresentation
bin110111011000010110010…
…000011010101001000000
3111110211012210002221211011
4313120112100122221000
5444323100343121212
612032153203530304
7541645102611352
oct67302620325100
914424183087734
103805714426432
111237aa3640646
125156a6089994
13217b53658a99
14d22aa1710d2
1568ede55e4a7
hex3761641aa40

3805714426432 has 112 divisors (see below), whose sum is σ = 8023549195440. Its totient is φ = 1784807424000.

The previous prime is 3805714426417. The next prime is 3805714426439. The reversal of 3805714426432 is 2346244175083.

It can be written as a sum of positive squares in 8 ways, for example, as 328026525696 + 3477687900736 = 572736^2 + 1864856^2 .

It is not an unprimeable number, because it can be changed into a prime (3805714426439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 534431832 + ... + 534438952.

Almost surely, 23805714426432 is an apocalyptic number.

3805714426432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3805714426432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4011774597720).

3805714426432 is an abundant number, since it is smaller than the sum of its proper divisors (4217834769008).

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

3805714426432 is a wasteful number, since it uses less digits than its factorization.

3805714426432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8760 (or 8750 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 49.

The spelling of 3805714426432 in words is "three trillion, eight hundred five billion, seven hundred fourteen million, four hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 409 544 818 1088 1201 1636 2402 3272 4804 6544 6953 7121 9608 13088 13906 14242 19216 20417 26176 27812 28484 38432 40834 55624 56968 76864 81668 111248 113936 121057 163336 222496 227872 242114 326672 444992 455744 484228 491209 653344 968456 982418 1306688 1936912 1964836 2912489 3873824 3929672 5824978 7747648 7859344 8350553 8552321 11649956 15718688 16701106 17104642 23299912 31437376 33402212 34209284 46599824 49512313 66804424 68418568 93199648 99024626 133608848 136837136 145389457 186399296 198049252 267217696 273674272 290778914 396098504 534435392 547348544 581557828 792197008 1163115656 1584394016 2326231312 3168788032 3497899289 4652462624 6995798578 9304925248 13991597156 27983194312 55966388624 59464287913 111932777248 118928575826 223865554496 237857151652 475714303304 951428606608 1902857213216 3805714426432