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42882514020544 = 26112335006383
BaseRepresentation
bin10011100000000010111010…
…00000111110100011000000
312121211112021010121011010011
421300001131000332203000
521110041342042124134
6231111542135314304
712014105450000302
oct1160013500764300
9177745233534104
1042882514020544
1112733410246560
124986b0321b994
131ac0a5aa0b313
14a8374bcc9972
154e5715055264
hex27005d03e8c0

42882514020544 has 112 divisors (see below), whose sum is σ = 97050155627520. Its totient is φ = 18644567589120.

The previous prime is 42882514020539. The next prime is 42882514020553. The reversal of 42882514020544 is 44502041528824.

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, 6062377 + ... + 11068759.

Almost surely, 242882514020544 is an apocalyptic number.

42882514020544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42882514020544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48525077813760).

42882514020544 is an abundant number, since it is smaller than the sum of its proper divisors (54167641606976).

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

42882514020544 is an equidigital number, since it uses as much as digits as its factorization.

42882514020544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5006475 (or 5006419 counting only the distinct ones).

The product of its (nonzero) digits is 3276800, while the sum is 49.

The spelling of 42882514020544 in words is "forty-two trillion, eight hundred eighty-two billion, five hundred fourteen million, twenty thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 176 184 253 352 368 506 529 704 736 1012 1058 1472 2024 2116 4048 4232 5819 8096 8464 11638 12167 16192 16928 23276 24334 33856 46552 48668 93104 97336 133837 186208 194672 267674 372416 389344 535348 778688 1070696 2141392 4282784 5006383 8565568 10012766 20025532 40051064 55070213 80102128 110140426 115146809 160204256 220280852 230293618 320408512 440561704 460587236 881123408 921174472 1266614899 1762246816 1842348944 2533229798 2648376607 3524493632 3684697888 5066459596 5296753214 7369395776 10132919192 10593506428 20265838384 21187012856 29132142677 40531676768 42374025712 58264285354 60912661961 81063353536 84748051424 116528570708 121825323922 169496102848 233057141416 243650647844 466114282832 487301295688 670039281571 932228565664 974602591376 1340078563142 1864457131328 1949205182752 2680157126284 3898410365504 5360314252568 10720628505136 21441257010272 42882514020544