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46338562089 = 32891491572473
BaseRepresentation
bin101011001001111111…
…100101100000101001
311102121102011212001100
4223021333211200221
51224400132441324
633142044112013
73230212164441
oct531177454051
9142542155040
1046338562089
1118719a01606
128b92835609
1344a632b311
14235834b121
1513131e94c9
hexac9fe5829

46338562089 has 48 divisors (see below), whose sum is σ = 68601546000. Its totient is φ = 30134827008.

The previous prime is 46338562087. The next prime is 46338562103. The reversal of 46338562089 is 98026583364.

46338562089 is a `hidden beast` number, since 4 + 6 + 3 + 3 + 8 + 5 + 620 + 8 + 9 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5822910864 + 40515651225 = 76308^2 + 201285^2 .

It is not a de Polignac number, because 46338562089 - 21 = 46338562087 is a prime.

It is a super-2 number, since 2×463385620892 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46338562087) 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 47 ways as a sum of consecutive naturals, for example, 18736557 + ... + 18739029.

It is an arithmetic number, because the mean of its divisors is an integer number (1429198875).

Almost surely, 246338562089 is an apocalyptic number.

It is an amenable number.

46338562089 is a deficient number, since it is larger than the sum of its proper divisors (22262983911).

46338562089 is a wasteful number, since it uses less digits than its factorization.

46338562089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 46338562089 in words is "forty-six billion, three hundred thirty-eight million, five hundred sixty-two thousand, eighty-nine".

Divisors: 1 3 9 89 149 157 267 447 471 801 1341 1413 2473 7419 13261 13973 22257 23393 39783 41919 70179 119349 125757 210537 220097 368477 388261 660291 1105431 1164783 1980873 2081977 3316293 3494349 6245931 18737793 32794453 34555229 57850889 98383359 103665687 173552667 295150077 310997061 520658001 5148729121 15446187363 46338562089