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146861721281 = 11432083149059
BaseRepresentation
bin1000100011000110100…
…1000000011011000001
3112001002001020102210102
42020301221000123001
54401233100040111
6151244540212145
713416241014422
oct2106151003301
9461061212712
10146861721281
1157313681980
122456783a055
1310b063411c2
147172a71649
153c4832413b
hex2231a406c1

146861721281 has 16 divisors (see below), whose sum is σ = 164018469120. Its totient is φ = 130342277520.

The previous prime is 146861721271. The next prime is 146861721283. The reversal of 146861721281 is 182127168641.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-146861721281 is a prime.

It is a super-2 number, since 2×1468617212812 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (146861721283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 910730 + ... + 1059788.

It is an arithmetic number, because the mean of its divisors is an integer number (10251154320).

Almost surely, 2146861721281 is an apocalyptic number.

146861721281 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

146861721281 is a deficient number, since it is larger than the sum of its proper divisors (17156747839).

146861721281 is a wasteful number, since it uses less digits than its factorization.

146861721281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151196.

The product of its digits is 258048, while the sum is 47.

The spelling of 146861721281 in words is "one hundred forty-six billion, eight hundred sixty-one million, seven hundred twenty-one thousand, two hundred eighty-one".

Divisors: 1 11 43 473 2083 22913 89569 149059 985259 1639649 6409537 70504907 310489897 3415388867 13351065571 146861721281