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146631353661 = 32132694658957
BaseRepresentation
bin1000100010001111101…
…0001110010100111101
3112000110222202112211100
42020203322032110331
54400300111304121
6151210030443313
713410442640622
oct2104372162475
9460428675740
10146631353661
1157205638311
1224502663539
1310a9a6b37c0
147150226349
153c32ebc026
hex2223e8e53d

146631353661 has 24 divisors (see below), whose sum is σ = 228941196120. Its totient is φ = 89899214976.

The previous prime is 146631353641. The next prime is 146631353669. The reversal of 146631353661 is 166353136641.

146631353661 is a `hidden beast` number, since 1 + 4 + 6 + 631 + 3 + 5 + 3 + 6 + 6 + 1 = 666.

146631353661 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5776760025 + 140854593636 = 76005^2 + 375306^2 .

It is not a de Polignac number, because 146631353661 - 211 = 146631351613 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146631353669) 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 23 ways as a sum of consecutive naturals, for example, 2298006 + ... + 2360951.

It is an arithmetic number, because the mean of its divisors is an integer number (9539216505).

Almost surely, 2146631353661 is an apocalyptic number.

It is an amenable number.

146631353661 is a deficient number, since it is larger than the sum of its proper divisors (82309842459).

146631353661 is a wasteful number, since it uses less digits than its factorization.

146631353661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4659245 (or 4659242 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The spelling of 146631353661 in words is "one hundred forty-six billion, six hundred thirty-one million, three hundred fifty-three thousand, six hundred sixty-one".

Divisors: 1 3 9 13 39 117 269 807 2421 3497 10491 31473 4658957 13976871 41930613 60566441 181699323 545097969 1253259433 3759778299 11279334897 16292372629 48877117887 146631353661