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484608054042 = 234713713922441
BaseRepresentation
bin1110000110101001110…
…01000001001100011010
31201022212011112211210000
413003110321001030122
530414434130212132
61010343104233430
750004016331340
oct7032471011432
91638764484700
10484608054042
11177580681702
1279b0630b876
1336910350348
1419652d33990
15c9146eb87c
hex70d4e4131a

484608054042 has 160 divisors (see below), whose sum is σ = 1259114693760. Its totient is φ = 136453870080.

The previous prime is 484608054031. The next prime is 484608054053. The reversal of 484608054042 is 240450806484.

484608054042 is a `hidden beast` number, since 4 + 8 + 4 + 60 + 8 + 0 + 540 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (484608054031) and next prime (484608054053).

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 79 ways as a sum of consecutive naturals, for example, 21583542 + ... + 21605982.

It is an arithmetic number, because the mean of its divisors is an integer number (7869466836).

Almost surely, 2484608054042 is an apocalyptic number.

484608054042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 484608054042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629557346880).

484608054042 is an abundant number, since it is smaller than the sum of its proper divisors (774506639718).

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

484608054042 is a wasteful number, since it uses less digits than its factorization.

484608054042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22738 (or 22729 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 484608054042 in words is "four hundred eighty-four billion, six hundred eight million, fifty-four thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 137 139 162 189 274 278 378 411 417 567 822 834 959 973 1134 1233 1251 1918 1946 2466 2502 2877 2919 3699 3753 5754 5838 7398 7506 8631 8757 11097 11259 17262 17514 19043 22194 22441 22518 25893 26271 38086 44882 51786 52542 57129 67323 77679 78813 114258 133301 134646 155358 157087 157626 171387 201969 266602 314174 342774 399903 403938 471261 514161 605907 799806 942522 1028322 1199709 1211814 1413783 1542483 1817721 2399418 2827566 3074417 3084966 3119299 3599127 3635442 4241349 6148834 6238598 7198254 8482698 9223251 9357897 10797381 12724047 18446502 18715794 21520919 21594762 21835093 25448094 27669753 28073691 43041838 43670186 55339506 56147382 64562757 65505279 83009259 84221073 129125514 131010558 166018518 168442146 193688271 196515837 249027777 252663219 387376542 393031674 427343963 498055554 505326438 581064813 589547511 854687926 1162129626 1179095022 1282031889 1743194439 1768642533 2564063778 2991407741 3486388878 3537285066 3846095667 5982815482 7692191334 8974223223 11538287001 17948446446 23076574002 26922669669 34614861003 53845339338 69229722006 80768009007 161536018014 242304027021 484608054042