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852121332480 = 28351120173327
BaseRepresentation
bin11000110011001100110…
…00111010101100000000
310000110110210121202201010
430121212120322230000
5102430121030114410
61451243101240520
7115364234550405
oct14314630725400
93013423552633
10852121332480
112a9423306290
12119191863140
136247c366002
142d3586d62ac
1517274014c20
hexc66663ab00

852121332480 has 144 divisors (see below), whose sum is σ = 2968868335104. Its totient is φ = 206574858240.

The previous prime is 852121332451. The next prime is 852121332493. The reversal of 852121332480 is 84233121258.

It is a super-2 number, since 2×8521213324802 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10044424 + ... + 10128903.

It is an arithmetic number, because the mean of its divisors is an integer number (20617141216).

Almost surely, 2852121332480 is an apocalyptic number.

852121332480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

852121332480 is an abundant number, since it is smaller than the sum of its proper divisors (2116747002624).

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

852121332480 is a wasteful number, since it uses less digits than its factorization.

852121332480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20173362 (or 20173348 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 852121332480 in words is "eight hundred fifty-two billion, one hundred twenty-one million, three hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3520 3840 4224 5280 7040 8448 10560 14080 21120 42240 20173327 40346654 60519981 80693308 100866635 121039962 161386616 201733270 221906597 242079924 302599905 322773232 403466540 443813194 484159848 605199810 645546464 665719791 806933080 887626388 968319696 1109532985 1210399620 1291092928 1331439582 1613866160 1775252776 1936639392 2219065970 2420799240 2582185856 2662879164 3227732320 3328598955 3550505552 3873278784 4438131940 4841598480 5164371712 5325758328 6455464640 6657197910 7101011104 7746557568 8876263880 9683196960 10651516656 12910929280 13314395820 14202022208 15493115136 17752527760 19366393920 21303033312 25821858560 26628791640 28404044416 35505055520 38732787840 42606066624 53257583280 56808088832 71010111040 77465575680 85212133248 106515166560 142020222080 170424266496 213030333120 284040444160 426060666240 852121332480