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45275343264 = 2532316775689
BaseRepresentation
bin101010001010100111…
…101110100110100000
311022212022112202000100
4222022213232212200
51220210441441024
632444343422400
73161652032214
oct521247564640
9138768482010
1045275343264
1118223829568
128936754a00
134366c88058
142297064944
15129ebcb7c9
hexa8a9ee9a0

45275343264 has 144 divisors (see below), whose sum is σ = 134890479360. Its totient is φ = 14386775040.

The previous prime is 45275343247. The next prime is 45275343271. The reversal of 45275343264 is 46234357254.

45275343264 is a `hidden beast` number, since 4 + 5 + 27 + 534 + 32 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 560332 + ... + 636020.

It is an arithmetic number, because the mean of its divisors is an integer number (936739440).

Almost surely, 245275343264 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 45275343264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67445239680).

45275343264 is an abundant number, since it is smaller than the sum of its proper divisors (89615136096).

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

45275343264 is a wasteful number, since it uses less digits than its factorization.

45275343264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75803 (or 75792 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 45.

The spelling of 45275343264 in words is "forty-five billion, two hundred seventy-five million, three hundred forty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 67 72 93 96 124 134 144 186 201 248 268 279 288 372 402 496 536 558 603 744 804 992 1072 1116 1206 1488 1608 2077 2144 2232 2412 2976 3216 4154 4464 4824 6231 6432 8308 8928 9648 12462 16616 18693 19296 24924 33232 37386 49848 66464 74772 75689 99696 149544 151378 199392 227067 299088 302756 454134 598176 605512 681201 908268 1211024 1362402 1816536 2346359 2422048 2724804 3633072 4692718 5071163 5449608 7039077 7266144 9385436 10142326 10899216 14078154 15213489 18770872 20284652 21117231 21798432 28156308 30426978 37541744 40569304 42234462 45640467 56312616 60853956 75083488 81138608 84468924 91280934 112625232 121707912 157206053 162277216 168937848 182561868 225250464 243415824 314412106 337875696 365123736 471618159 486831648 628824212 675751392 730247472 943236318 1257648424 1414854477 1460494944 1886472636 2515296848 2829708954 3772945272 5030593696 5659417908 7545890544 11318835816 15091781088 22637671632 45275343264