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42811383276 = 2235793591553
BaseRepresentation
bin100111110111110000…
…011101110111101100
311002111121011121100000
4213313300131313230
51200134203231101
631400044304300
73043622516334
oct476760356754
9132447147300
1042811383276
1117179a009a2
128369542090
134063666b6c
142101b160c4
1511a871e486
hex9f7c1ddec

42811383276 has 144 divisors (see below), whose sum is σ = 114036249600. Its totient is φ = 14041527552.

The previous prime is 42811383233. The next prime is 42811383341. The reversal of 42811383276 is 67238311824.

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 47 ways as a sum of consecutive naturals, for example, 27566116 + ... + 27567668.

It is an arithmetic number, because the mean of its divisors is an integer number (791918400).

Almost surely, 242811383276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42811383276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57018124800).

42811383276 is an abundant number, since it is smaller than the sum of its proper divisors (71224866324).

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

42811383276 is a wasteful number, since it uses less digits than its factorization.

42811383276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 1996 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 42811383276 in words is "forty-two billion, eight hundred eleven million, three hundred eighty-three thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 108 158 162 237 243 316 324 359 474 486 711 718 948 972 1077 1422 1436 1553 2133 2154 2844 3106 3231 4266 4308 4659 6212 6399 6462 8532 9318 9693 12798 12924 13977 18636 19197 19386 25596 27954 28361 29079 38394 38772 41931 55908 56722 58158 76788 83862 85083 87237 113444 116316 122687 125793 167724 170166 174474 245374 251586 255249 340332 348948 368061 377379 490748 503172 510498 557527 736122 754758 765747 1020996 1104183 1115054 1472244 1509516 1531494 1672581 2208366 2230108 2297241 3062988 3312549 3345162 4416732 4594482 5017743 6625098 6690324 6891723 9188964 9937647 10035486 13250196 13783446 15053229 19875294 20070972 27566892 29812941 30106458 39750588 44044633 45159687 59625882 60212916 88089266 90319374 119251764 132133899 135479061 176178532 180638748 264267798 270958122 396401697 528535596 541916244 792803394 1189205091 1585606788 2378410182 3567615273 4756820364 7135230546 10702845819 14270461092 21405691638 42811383276