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45004544454105 = 32529937181120323
BaseRepresentation
bin10100011101110011011111…
…11000101010110111011001
312220100101121002020022210200
422032321233320222313121
521344323301340012410
6235414445144132413
712323320365035205
oct1216715770526731
9186311532208720
1045004544454105
1113381358095225
12506a222a67109
131c15baaccb512
14b1833561db05
15530a113ad3c0
hex28ee6fe2add9

45004544454105 has 96 divisors (see below), whose sum is σ = 80832511992960. Its totient is φ = 23136099517440.

The previous prime is 45004544454053. The next prime is 45004544454157. The reversal of 45004544454105 is 50145444540054.

45004544454105 is a `hidden beast` number, since 4 + 5 + 0 + 0 + 454 + 44 + 54 + 105 = 666.

It is an interprime number because it is at equal distance from previous prime (45004544454053) and next prime (45004544454157).

It is not a de Polignac number, because 45004544454105 - 26 = 45004544454041 is a prime.

It is a super-2 number, since 2×450045444541052 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2214453474 + ... + 2214473796.

It is an arithmetic number, because the mean of its divisors is an integer number (842005333260).

Almost surely, 245004544454105 is an apocalyptic number.

45004544454105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45004544454105 is a deficient number, since it is larger than the sum of its proper divisors (35827967538855).

45004544454105 is a wasteful number, since it uses less digits than its factorization.

45004544454105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23111 (or 23108 counting only the distinct ones).

The product of its (nonzero) digits is 2560000, while the sum is 45.

Adding to 45004544454105 its reverse (50145444540054), we get a palindrome (95149988994159).

The spelling of 45004544454105 in words is "forty-five trillion, four billion, five hundred forty-four million, four hundred fifty-four thousand, one hundred five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 937 1305 1811 2811 4685 5433 8433 9055 14055 16299 20323 27165 27173 42165 52519 60969 81495 81519 101615 135865 157557 182907 244557 262595 304845 407595 472671 589367 787785 914535 1222785 1696907 1768101 2363355 2946835 5090721 5304303 8484535 8840505 15272163 19042651 25453605 26521515 36804953 49210303 57127953 76360815 95213255 110414859 147630909 171383859 184024765 246051515 285639765 331244577 442892727 552074295 552236879 738154545 856919295 1067343637 1656222885 1656710637 2214463635 2761184395 3202030911 4970131911 5336718185 8283553185 9606092733 16010154555 24850659555 34486240961 48030463665 103458722883 172431204805 310376168649 517293614415 1000100987869 1551880843245 3000302963607 5000504939345 9000908890821 15001514818035 45004544454105