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46484208972 = 223223311810979
BaseRepresentation
bin101011010010101011…
…001011110101001100
311102222120020111000100
4223102223023311030
51230144424141342
633204325531100
73233631154065
oct532253136514
9142876214010
1046484208972
1118794140233
129013573a90
1344ca5649c6
14236d82156c
151320db8e4c
hexad2acbd4c

46484208972 has 72 divisors (see below), whose sum is σ = 126565770240. Its totient is φ = 14342945760.

The previous prime is 46484208971. The next prime is 46484208973. The reversal of 46484208972 is 27980248464.

46484208972 is a `hidden beast` number, since 464 + 84 + 20 + 89 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (46484208971) and next prime (46484208973).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (46484208971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 879822 + ... + 931157.

It is an arithmetic number, because the mean of its divisors is an integer number (1757857920).

Almost surely, 246484208972 is an apocalyptic number.

It is an amenable number.

46484208972 is an abundant number, since it is smaller than the sum of its proper divisors (80081561268).

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

46484208972 is a wasteful number, since it uses less digits than its factorization.

46484208972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811043 (or 1811038 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 46484208972 in words is "forty-six billion, four hundred eighty-four million, two hundred eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 31 36 46 62 69 92 93 124 138 186 207 276 279 372 414 558 713 828 1116 1426 2139 2852 4278 6417 8556 12834 25668 1810979 3621958 5432937 7243916 10865874 16298811 21731748 32597622 41652517 56140349 65195244 83305034 112280698 124957551 166610068 168421047 224561396 249915102 336842094 374872653 499830204 505263141 673684188 749745306 1010526282 1291228027 1499490612 2021052564 2582456054 3873684081 5164912108 7747368162 11621052243 15494736324 23242104486 46484208972