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5639314076176 = 2411231217412
BaseRepresentation
bin101001000010000000101…
…0011111111001000010000
3201222010001111100011210211
41102010001103333020100
51214343303400414201
615554355355533504
71121266313514064
oct122040123771020
921863044304724
105639314076176
11188468a863400
12770b2aa5a294
1331ba28952931
14156d31085aa4
159ba58c34651
hex521014ff210

5639314076176 has 135 divisors (see below), whose sum is σ = 12416798924397. Its totient is φ = 2479211856000.

The previous prime is 5639314076173. The next prime is 5639314076273. The reversal of 5639314076176 is 6716704139365.

The square root of 5639314076176 is 2374724.

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., 6476386576 + 5632837689600 = 80476^2 + 2373360^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5639314076176.

It is not an unprimeable number, because it can be changed into a prime (5639314076173) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3239122666 + ... + 3239124406.

Almost surely, 25639314076176 is an apocalyptic number.

5639314076176 is the 2374724-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5639314076176

5639314076176 is an abundant number, since it is smaller than the sum of its proper divisors (6777484848221).

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

5639314076176 is an equidigital number, since it uses as much as digits as its factorization.

5639314076176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3574 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 58.

The spelling of 5639314076176 in words is "five trillion, six hundred thirty-nine billion, three hundred fourteen million, seventy-six thousand, one hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 121 124 176 242 248 341 484 496 682 961 968 1364 1741 1922 1936 2728 3482 3751 3844 5456 6964 7502 7688 10571 13928 15004 15376 19151 21142 27856 30008 38302 42284 53971 60016 76604 84568 107942 116281 153208 169136 210661 215884 232562 306416 421322 431768 465124 593681 842644 863536 930248 1187362 1673101 1685288 1860496 2374724 3031081 3346202 3370576 4749448 6062162 6530491 6692404 9498896 12124324 13060982 13384808 18404111 24248648 26121964 26769616 33341891 36808222 48497296 52243928 66683782 73616444 93963511 104487856 133367564 147232888 187927022 202445221 266735128 294465776 366760801 375854044 404890442 533470256 733521602 751708088 809780884 1033598621 1467043204 1503416176 1619561768 2067197242 2912868841 2934086408 3239123536 4134394484 5825737682 5868172816 8268788968 11369584831 11651475364 16537577936 22739169662 23302950728 32041557251 45478339324 46605901456 64083114502 90956678648 128166229004 181913357296 256332458008 352457129761 512664916016 704914259522 1409828519044 2819657038088 5639314076176