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2173188982276 = 22132314592
BaseRepresentation
bin11111100111111100001…
…010000100011000000100
321200202101021110201101001
4133213330022010120010
5241101142334413101
64342203233543044
7313002435364444
oct37477412043004
97622337421331
102173188982276
1176870a5865a4
122b1218714a84
13129c140a0100
147727bc84124
153b7e279b901
hex1f9fc284604

2173188982276 has 135 divisors (see below), whose sum is σ = 4328747520405. Its totient is φ = 954203346720.

The previous prime is 2173188982273. The next prime is 2173188982331. The reversal of 2173188982276 is 6722898813712.

The square root of 2173188982276 is 1474174.

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., 321477660100 + 1851711322176 = 566990^2 + 1360776^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2173188982273) 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 44 ways as a sum of consecutive naturals, for example, 36833711535 + ... + 36833711593.

Almost surely, 22173188982276 is an apocalyptic number.

2173188982276 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2173188982276 is the 1474174-th square number.

It is an amenable number.

2173188982276 is a deficient number, since it is larger than the sum of its proper divisors (2155558538129).

2173188982276 is an frugal number, since it uses more digits than its factorization.

2173188982276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 105 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 64.

Multiplying 2173188982276 by its sum of digits (64), we get a square (139084094865664 = 117933922).

The spelling of 2173188982276 in words is "two trillion, one hundred seventy-three billion, one hundred eighty-eight million, nine hundred eighty-two thousand, two hundred seventy-six".

Divisors: 1 2 4 13 26 31 52 59 62 118 124 169 236 338 403 676 767 806 961 1534 1612 1829 1922 3068 3481 3658 3844 5239 6962 7316 9971 10478 12493 13924 19942 20956 23777 24986 29791 39884 45253 47554 49972 56699 59582 90506 95108 107911 113398 119164 162409 181012 215822 226796 309101 324818 387283 431644 588289 618202 649636 737087 774566 923521 1176578 1236404 1402843 1474174 1549132 1757669 1847042 2353156 2805686 2948348 3345241 3515338 3694084 5034679 5611372 6690482 7030676 9582131 10069358 12005773 13380964 18236959 19164262 20138716 22849697 24011546 36473918 38328524 43488133 45699394 48023092 54487739 72947836 86976266 91398788 103702471 108975478 156075049 173952532 207404942 217950956 297046061 312150098 414809884 565345729 594092122 624300196 708340607 1130691458 1188184244 1348132123 1416681214 2261382916 2696264246 2833362428 3214776601 5392528492 6429553202 9208427891 12859106404 17525717599 18416855782 35051435198 36833711564 41792095813 70102870396 83584191626 167168383252 543297245569 1086594491138 2173188982276