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45074840903505 = 32574326669124781
BaseRepresentation
bin10100011111110110011011…
…11000010101111101010001
312220121010001011101221210200
422033323031320111331101
521402001233232403010
6235511032425045413
712331356402015630
oct1217731570257521
9186533034357720
1045074840903505
11133a91506560a6
12507b981026869
131c1c70199c7ca
14b1b8c3763517
15532777a2acc0
hex28fecde15f51

45074840903505 has 96 divisors (see below), whose sum is σ = 91371809168640. Its totient is φ = 20125524625920.

The previous prime is 45074840903453. The next prime is 45074840903509. The reversal of 45074840903505 is 50530904847054.

It is a happy number.

45074840903505 is a `hidden beast` number, since 4 + 5 + 0 + 7 + 4 + 8 + 40 + 90 + 3 + 505 = 666.

It is not a de Polignac number, because 45074840903505 - 28 = 45074840903249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45074840903509) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 361169215 + ... + 361293995.

It is an arithmetic number, because the mean of its divisors is an integer number (951789678840).

Almost surely, 245074840903505 is an apocalyptic number.

45074840903505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45074840903505 is an abundant number, since it is smaller than the sum of its proper divisors (46296968265135).

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

45074840903505 is a wasteful number, since it uses less digits than its factorization.

45074840903505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151511 (or 151508 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 45074840903505 in words is "forty-five trillion, seventy-four billion, eight hundred forty million, nine hundred three thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 35 43 45 63 105 129 215 301 315 387 645 903 1505 1935 2709 4515 13545 26669 80007 124781 133345 186683 240021 374343 400035 560049 623905 873467 933415 1123029 1146767 1200105 1680147 1871715 2620401 2800245 3440301 4367335 5365583 5615145 5733835 7861203 8027369 8400735 10320903 13102005 16096749 17201505 24082107 26827915 37559081 39306015 40136845 48290247 51604515 72246321 80483745 112677243 120410535 187795405 241451235 338031729 361231605 563386215 1690158645 3327784489 9983353467 16638922445 23294491423 29950060401 49916767335 69883474269 116472457115 143094733027 149750302005 209650422807 349417371345 429284199081 715473665135 1001663131189 1048252114035 1287852597243 2146420995405 3004989393567 5008315655945 6439262986215 9014968180701 15024946967835 45074840903505