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45214457566344 = 23311947180852043
BaseRepresentation
bin10100100011111010011111…
…01011101001010010001000
312221002110102021210021211020
422101331033223221102020
521411243202114110334
6240055122434432440
712344431260043113
oct1221751753512210
9187073367707736
1045214457566344
1113452386615370
1250a2a46432720
131c2c922005681
14b2456a0c757a
155361e9c7ae49
hex291f4fae9488

45214457566344 has 64 divisors (see below), whose sum is σ = 123442371152640. Its totient is φ = 13686882538560.

The previous prime is 45214457566339. The next prime is 45214457566351. The reversal of 45214457566344 is 44366575441254.

45214457566344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 90176014 + ... + 90676029.

It is an arithmetic number, because the mean of its divisors is an integer number (1928787049260).

Almost surely, 245214457566344 is an apocalyptic number.

45214457566344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45214457566344 is an abundant number, since it is smaller than the sum of its proper divisors (78227913586296).

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

45214457566344 is a wasteful number, since it uses less digits than its factorization.

45214457566344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180853010 (or 180853006 counting only the distinct ones).

The product of its digits is 193536000, while the sum is 60.

The spelling of 45214457566344 in words is "forty-five trillion, two hundred fourteen billion, four hundred fifty-seven million, five hundred sixty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 947 1894 2841 3788 5682 7576 10417 11364 20834 22728 31251 41668 62502 83336 125004 250008 180852043 361704086 542556129 723408172 1085112258 1446816344 1989372473 2170224516 3978744946 4340449032 5968117419 7957489892 11936234838 15914979784 23872469676 47744939352 171266884721 342533769442 513800654163 685067538884 1027601308326 1370135077768 1883935731931 2055202616652 3767871463862 4110405233304 5651807195793 7535742927724 11303614391586 15071485855448 22607228783172 45214457566344