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42661016624 = 247394738569
BaseRepresentation
bin100111101110110010…
…110111010000110000
311002010010020012001202
4213232302313100300
51144332210012444
631333113350332
73040115441522
oct475662672060
9132103205052
1042661016624
1117102039236
1283271083a8
13403b46a105
1420c9b73a12
15119a41b34e
hex9eecb7430

42661016624 has 40 divisors (see below), whose sum is σ = 83878641840. Its totient is φ = 21015548928.

The previous prime is 42661016623. The next prime is 42661016627.

42661016624 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (42661016623) 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 7 ways as a sum of consecutive naturals, for example, 1086812 + ... + 1125380.

It is an arithmetic number, because the mean of its divisors is an integer number (2096966046).

Almost surely, 242661016624 is an apocalyptic number.

It is an amenable number.

42661016624 is a deficient number, since it is larger than the sum of its proper divisors (41217625216).

42661016624 is a wasteful number, since it uses less digits than its factorization.

42661016624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39597 (or 39591 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 42661016624 in words is "forty-two billion, six hundred sixty-one million, sixteen thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 73 146 292 584 947 1168 1894 3788 7576 15152 38569 69131 77138 138262 154276 276524 308552 553048 617104 1106096 2815537 5631074 11262148 22524296 36524843 45048592 73049686 146099372 292198744 584397488 2666313539 5332627078 10665254156 21330508312 42661016624