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2578343141284 = 222326725212
BaseRepresentation
bin100101100001010001001…
…110100001111110100100
3100010111011011111111022221
4211201101032201332210
5314220421321010114
65252250253402124
7354164514044221
oct45412116417644
910114134444287
102578343141284
11904518538939
12357849a99344
131591a1493c81
148cb14796948
15471068ed524
hex258513a1fa4

2578343141284 has 81 divisors (see below), whose sum is σ = 4797467298561. Its totient is φ = 1212384338880.

The previous prime is 2578343141281. The next prime is 2578343141371. The reversal of 2578343141284 is 4821413438752.

The square root of 2578343141284 is 1605722.

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., 739390174884 + 1838952966400 = 859878^2 + 1356080^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2578343141281) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 4948834944 + ... + 4948835464.

Almost surely, 22578343141284 is an apocalyptic number.

2578343141284 is the 1605722-nd square number.

It is an amenable number.

2578343141284 is a deficient number, since it is larger than the sum of its proper divisors (2219124157277).

2578343141284 is an frugal number, since it uses more digits than its factorization.

2578343141284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 613 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 52.

The spelling of 2578343141284 in words is "two trillion, five hundred seventy-eight billion, three hundred forty-three million, one hundred forty-one thousand, two hundred eighty-four".

Divisors: 1 2 4 23 46 67 92 134 268 521 529 1042 1058 1541 2084 2116 3082 4489 6164 8978 11983 17956 23966 34907 35443 47932 69814 70886 103247 139628 141772 206494 271441 275609 412988 542882 551218 802861 1085764 1102436 1605722 2338769 2374681 3211444 4677538 4749362 6243143 9355076 9498724 12486286 18186547 18465803 24972572 36373094 36931606 53791687 72746188 73863212 107583374 143592289 215166748 287184578 418290581 574369156 836581162 1218498649 1237208801 1673162324 2436997298 2474417602 4873994596 4948835204 9620683363 19241366726 28025468927 38482733452 56050937854 112101875708 644585785321 1289171570642 2578343141284