Search a number
-
+
245909442441348 = 223274312264109329
BaseRepresentation
bin110111111010011101000000…
…111101101011000010000100
31012020200201020212001222222100
4313322131000331223002010
5224212440014231110343
62231001123250032100
7102540241140343530
oct6772350075530204
91166621225058870
10245909442441348
1171399677459704
12236b6a92878630
13a72a2127083aa
1444a211ad34bc0
151d66a0797e9d3
hexdfa740f6b084

245909442441348 has 72 divisors (see below), whose sum is σ = 712053327847680. Its totient is φ = 70096824794880.

The previous prime is 245909442441347. The next prime is 245909442441361. The reversal of 245909442441348 is 843144244909542.

It is a happy number.

245909442441348 is a `hidden beast` number, since 2 + 4 + 5 + 9 + 0 + 9 + 44 + 244 + 1 + 348 = 666.

245909442441348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (245909442441347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1131946053 + ... + 1132163276.

It is an arithmetic number, because the mean of its divisors is an integer number (9889629553440).

Almost surely, 2245909442441348 is an apocalyptic number.

245909442441348 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

245909442441348 is an abundant number, since it is smaller than the sum of its proper divisors (466143885406332).

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

245909442441348 is a wasteful number, since it uses less digits than its factorization.

245909442441348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264109777 (or 2264109772 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 63.

The spelling of 245909442441348 in words is "two hundred forty-five trillion, nine hundred nine billion, four hundred forty-two million, four hundred forty-one thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 431 862 1293 1724 2586 3017 3879 5172 6034 7758 9051 12068 15516 18102 27153 36204 54306 108612 2264109329 4528218658 6792327987 9056437316 13584655974 15848765303 20376983961 27169311948 31697530606 40753967922 47546295909 63395061212 81507935844 95092591818 142638887727 190185183636 285277775454 570555550908 975831120799 1951662241598 2927493362397 3903324483196 5854986724794 6830817845593 8782480087191 11709973449588 13661635691186 17564960174382 20492453536779 27323271382372 35129920348764 40984907073558 61477360610337 81969814147116 122954721220674 245909442441348