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146568103686 = 23217478980731
BaseRepresentation
bin1000100010000000100…
…0111100011100000110
3112000022120202010011200
42020200020330130012
54400132413304221
6151155451043330
713406044216434
oct2104010743406
9460276663150
10146568103686
1157182967704
12244a5440546
1310a8a569494
147145a7dd54
153c2c676426
hex222023c706

146568103686 has 24 divisors (see below), whose sum is σ = 336244473864. Its totient is φ = 45982150080.

The previous prime is 146568103667. The next prime is 146568103687. The reversal of 146568103686 is 686301865641.

146568103686 is a `hidden beast` number, since 1 + 4 + 6 + 568 + 10 + 3 + 68 + 6 = 666.

It is a super-2 number, since 2×1465681036862 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146568103687) 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 11 ways as a sum of consecutive naturals, for example, 239490060 + ... + 239490671.

It is an arithmetic number, because the mean of its divisors is an integer number (14010186411).

Almost surely, 2146568103686 is an apocalyptic number.

146568103686 is an abundant number, since it is smaller than the sum of its proper divisors (189676370178).

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

146568103686 is a wasteful number, since it uses less digits than its factorization.

146568103686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478980756 (or 478980753 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 146568103686 in words is "one hundred forty-six billion, five hundred sixty-eight million, one hundred three thousand, six hundred eighty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 478980731 957961462 1436942193 2873884386 4310826579 8142672427 8621653158 16285344854 24428017281 48856034562 73284051843 146568103686