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45604805005608 = 233192913513255209
BaseRepresentation
bin10100101111010001100100…
…01100111101000100101000
312222110202222021100202202120
422113220302030331010220
521434142120040134413
6240554320323031240
712414560403402462
oct1227506214750450
9188422867322676
1045604805005608
1113592986568a42
125146624b0b520
131c5a68c923cc4
14b393da329132
15541444046723
hex297a3233d128

45604805005608 has 128 divisors (see below), whose sum is σ = 124160685840000. Its totient is φ = 13903829839872.

The previous prime is 45604805005603. The next prime is 45604805005649. The reversal of 45604805005608 is 80650050840654.

It is a super-2 number, since 2×456048050056082 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45604805005603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178568308 + ... + 178823516.

It is an arithmetic number, because the mean of its divisors is an integer number (970005358125).

Almost surely, 245604805005608 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 45604805005608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62080342920000).

45604805005608 is an abundant number, since it is smaller than the sum of its proper divisors (78555880834392).

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

45604805005608 is a wasteful number, since it uses less digits than its factorization.

45604805005608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268779 (or 268775 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 51.

The spelling of 45604805005608 in words is "forty-five trillion, six hundred four billion, eight hundred five million, five thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 19 24 29 38 57 58 76 87 114 116 152 174 228 232 348 456 551 696 1102 1653 2204 3306 4408 6612 13224 13513 27026 40539 54052 81078 108104 162156 255209 256747 324312 391877 510418 513494 765627 770241 783754 1020836 1026988 1175631 1531254 1540482 1567508 2041672 2053976 2351262 3062508 3080964 3135016 4702524 4848971 6125016 6161928 7401061 7445663 9405048 9697942 14546913 14802122 14891326 19395884 22203183 22336989 29093826 29604244 29782652 38791768 44406366 44673978 58187652 59208488 59565304 88812732 89347956 116375304 140620159 177625464 178695912 281240318 421860477 562480636 843720954 1124961272 1687441908 3374883816 3448639217 6897278434 10345917651 13794556868 20691835302 27589113736 41383670604 65524145123 82767341208 100010537293 131048290246 196572435369 200021074586 262096580492 300031611879 393144870738 400042149172 524193160984 600063223758 786289741476 800084298344 1200126447516 1572579482952 1900200208567 2400252895032 3800400417134 5700600625701 7600800834268 11401201251402 15201601668536 22802402502804 45604805005608