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545120340672 = 2635989540691
BaseRepresentation
bin1111110111010111011…
…01000100101011000000
31221010001101002111200010
413323223231010223000
532412401301400142
61054231432424520
754245406305145
oct7735355045300
91833041074603
10545120340672
111a0203248246
1289793848140
133c534c74bcb
141c55385a3cc
15e2a6de2e9c
hex7eebb44ac0

545120340672 has 112 divisors (see below), whose sum is σ = 1483226294400. Its totient is φ = 176619632640.

The previous prime is 545120340637. The next prime is 545120340679. The reversal of 545120340672 is 276043021545.

It is a super-3 number, since 3×5451203406723 (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 545120340672.

It is not an unprimeable number, because it can be changed into a prime (545120340679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 737847 + ... + 1278537.

Almost surely, 2545120340672 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 545120340672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741613147200).

545120340672 is an abundant number, since it is smaller than the sum of its proper divisors (938105953728).

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

545120340672 is a wasteful number, since it uses less digits than its factorization.

545120340672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540854 (or 540844 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 545120340672 in words is "five hundred forty-five billion, one hundred twenty million, three hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 89 96 118 177 178 192 236 267 354 356 472 534 708 712 944 1068 1416 1424 1888 2136 2832 2848 3776 4272 5251 5664 5696 8544 10502 11328 15753 17088 21004 31506 42008 63012 84016 126024 168032 252048 336064 504096 540691 1008192 1081382 1622073 2162764 3244146 4325528 6488292 8651056 12976584 17302112 25953168 31900769 34604224 48121499 51906336 63801538 95702307 96242998 103812672 127603076 144364497 191404614 192485996 255206152 288728994 382809228 384971992 510412304 577457988 765618456 769943984 1020824608 1154915976 1531236912 1539887968 2041649216 2309831952 2839168441 3062473824 3079775936 4619663904 5678336882 6124947648 8517505323 9239327808 11356673764 17035010646 22713347528 34070021292 45426695056 68140042584 90853390112 136280085168 181706780224 272560170336 545120340672