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146104456245 = 35112137587579
BaseRepresentation
bin1000100000010010000…
…0010001010000110101
3111222010021022101110020
42020010200101100311
54343210220044440
6151041445315353
713361414246556
oct2100440212065
9458107271406
10146104456245
1156a6517a500
1224396105b59
1310a154a1997
14710026c32d
153c01ade3d0
hex2204811435

146104456245 has 48 divisors (see below), whose sum is σ = 258826639680. Its totient is φ = 70321335040.

The previous prime is 146104456187. The next prime is 146104456259. The reversal of 146104456245 is 542654401641.

It is a happy number.

It is not a de Polignac number, because 146104456245 - 26 = 146104456181 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 146104456197 and 146104456206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45135 + ... + 542444.

It is an arithmetic number, because the mean of its divisors is an integer number (5392221660).

Almost surely, 2146104456245 is an apocalyptic number.

146104456245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

146104456245 is a deficient number, since it is larger than the sum of its proper divisors (112722183435).

146104456245 is a wasteful number, since it uses less digits than its factorization.

146104456245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587746 (or 587735 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

Adding to 146104456245 its reverse (542654401641), we get a palindrome (688758857886).

The spelling of 146104456245 in words is "one hundred forty-six billion, one hundred four million, four hundred fifty-six thousand, two hundred forty-five".

Divisors: 1 3 5 11 15 33 55 121 137 165 363 411 605 685 1507 1815 2055 4521 7535 16577 22605 49731 82885 248655 587579 1762737 2937895 6463369 8813685 19390107 32316845 71097059 80498323 96950535 213291177 241494969 355485295 402491615 885481553 1066455885 1207474845 2656444659 4427407765 9740297083 13282223295 29220891249 48701485415 146104456245