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486072325514304 = 26343062092
BaseRepresentation
bin110111010000101001000100…
…0010011000010010001000000
32100202001001122002212111110000
41232201102020103002101000
51002202302110312424204
64441442313233240000
7204245365232231664
oct15641221023022100
92322031562774400
10486072325514304
1113097212a967601
12466240a6403000
1317b2b5678c3869
1488060517d48a4
153b2dccb372039
hex1ba14884c2440

486072325514304 has 105 divisors (see below), whose sum is σ = 1440875351010997. Its totient is φ = 162023579375616.

The previous prime is 486072325514299. The next prime is 486072325514309. The reversal of 486072325514304 is 403415523270684.

The square root of 486072325514304 is 22047048.

It is a perfect power (a square), and thus also a powerful number.

486072325514304 is a `hidden beast` number, since 4 + 8 + 6 + 0 + 7 + 2 + 325 + 5 + 1 + 4 + 304 = 666.

It is an interprime number because it is at equal distance from previous prime (486072325514299) and next prime (486072325514309).

It can be written as a sum of positive squares in only one way, i.e., 483535823344704 + 2536502169600 = 21989448^2 + 1592640^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (486072325514309) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1587234352 + ... + 1587540560.

Almost surely, 2486072325514304 is an apocalyptic number.

486072325514304 is the 22047048-th square number.

It is an amenable number.

486072325514304 is an abundant number, since it is smaller than the sum of its proper divisors (954803025496693).

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

486072325514304 is an frugal number, since it uses more digits than its factorization.

486072325514304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612442 (or 306214 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

Adding to 486072325514304 its reverse (403415523270684), we get a palindrome (889487848784988).

The spelling of 486072325514304 in words is "four hundred eighty-six trillion, seventy-two billion, three hundred twenty-five million, five hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 306209 612418 918627 1224836 1837254 2449672 2755881 3674508 4899344 5511762 7349016 8267643 9798688 11023524 14698032 16535286 19597376 22047048 24802929 29396064 33070572 44094096 49605858 58792128 66141144 88188192 99211716 132282288 176376384 198423432 264564576 396846864 529129152 793693728 1587387456 93763951681 187527903362 281291855043 375055806724 562583710086 750111613448 843875565129 1125167420172 1500223226896 1687751130258 2250334840344 2531626695387 3000446453792 3375502260516 4500669680688 5063253390774 6000892907584 6751004521032 7594880086161 9001339361376 10126506781548 13502009042064 15189760172322 18002678722752 20253013563096 27004018084128 30379520344644 40506027126192 54008036168256 60759040689288 81012054252384 121518081378576 162024108504768 243036162757152 486072325514304