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52245121211040 = 2535278219391217
BaseRepresentation
bin10111110000100010000111…
…11001000001101010100000
320211222120210022210210221210
423320101003321001222200
523321441002012223130
6303041024412350120
714001404544015342
oct1370210371015240
9224876708723853
1052245121211040
111571303899482a
125a39555475340
13231c903346854
14cc896a95b292
156090374945b0
hex2f8443e41aa0

52245121211040 has 96 divisors (see below), whose sum is σ = 164573144003520. Its totient is φ = 13931946635264.

The previous prime is 52245121210999. The next prime is 52245121211047. The reversal of 52245121211040 is 4011212154225.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 52245121210989 and 52245121211007.

It is not an unprimeable number, because it can be changed into a prime (52245121211047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133349512 + ... + 133740728.

It is an arithmetic number, because the mean of its divisors is an integer number (1714303583370).

Almost surely, 252245121211040 is an apocalyptic number.

It is an amenable number.

52245121211040 is an abundant number, since it is smaller than the sum of its proper divisors (112328022792480).

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

52245121211040 is a wasteful number, since it uses less digits than its factorization.

52245121211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669454 (or 669446 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 52245121211040 its reverse (4011212154225), we get a palindrome (56256333365265).

The spelling of 52245121211040 in words is "fifty-two trillion, two hundred forty-five billion, one hundred twenty-one million, two hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 278219 391217 556438 782434 834657 1112876 1173651 1391095 1564868 1669314 1956085 2225752 2347302 2782190 3129736 3338628 3912170 4173285 4451504 4694604 5564380 5868255 6259472 6677256 7824340 8346570 8903008 9389208 11128760 11736510 12518944 13354512 15648680 16693140 18778416 22257520 23473020 26709024 31297360 33386280 37556832 44515040 46946040 62594720 66772560 93892080 133545120 187784160 108844002523 217688005046 326532007569 435376010092 544220012615 653064015138 870752020184 1088440025230 1306128030276 1632660037845 1741504040368 2176880050460 2612256060552 3265320075690 3483008080736 4353760100920 5224512121104 6530640151380 8707520201840 10449024242208 13061280302760 17415040403680 26122560605520 52245121211040