Search a number
-
+
552146551147360 = 255131093242868319
BaseRepresentation
bin111110110001011001010001…
…1000010111000101101100000
32200101222200202111102102000001
41331202302203002320231200
51034332332114043203420
65234152342431505344
7224205162155322301
oct17542624302705540
92611880674372001
10552146551147360
1114aa27045767854
1251b1584a988254
131a91227252b570
149a4c06dc1c7a8
1543c78eb462b0a
hex1f62ca30b8b60

552146551147360 has 96 divisors (see below), whose sum is σ = 1406073509487360. Its totient is φ = 203682972100608.

The previous prime is 552146551147327. The next prime is 552146551147441. The reversal of 552146551147360 is 63741155641255.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119160720 + ... + 123707599.

It is an arithmetic number, because the mean of its divisors is an integer number (14646599057160).

Almost surely, 2552146551147360 is an apocalyptic number.

It is an amenable number.

552146551147360 is an abundant number, since it is smaller than the sum of its proper divisors (853926958340000).

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

552146551147360 is a wasteful number, since it uses less digits than its factorization.

552146551147360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242869440 (or 242869432 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 55.

The spelling of 552146551147360 in words is "five hundred fifty-two trillion, one hundred forty-six billion, five hundred fifty-one million, one hundred forty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 1093 2080 2186 4372 5465 8744 10930 14209 17488 21860 28418 34976 43720 56836 71045 87440 113672 142090 174880 227344 284180 454688 568360 1136720 2273440 242868319 485736638 971473276 1214341595 1942946552 2428683190 3157288147 3885893104 4857366380 6314576294 7771786208 9714732760 12629152588 15786440735 19429465520 25258305176 31572881470 38858931040 50516610352 63145762940 101033220704 126291525880 252583051760 265455072667 505166103520 530910145334 1061820290668 1327275363335 2123640581336 2654550726670 3450915944671 4247281162672 5309101453340 6901831889342 8494562325344 10618202906680 13803663778684 17254579723355 21236405813360 27607327557368 34509159446710 42472811626720 55214655114736 69018318893420 110429310229472 138036637786840 276073275573680 552146551147360