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42361626496 = 27761976379
BaseRepresentation
bin100111011100111100…
…110001111110000000
311001100020212121000111
4213130330301332000
51143224034021441
631243300401104
73026521612150
oct473474617600
9131306777014
1042361626496
1116a69040a82
1282629a6194
133cc1423aa7
14209c0bc760
15117decd081
hex9dcf31f80

42361626496 has 64 divisors (see below), whose sum is σ = 96605424000. Its totient is φ = 18125415936.

The previous prime is 42361626407. The next prime is 42361626539. The reversal of 42361626496 is 69462616324.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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, 516435 + ... + 592813.

It is an arithmetic number, because the mean of its divisors is an integer number (1509459750).

Almost surely, 242361626496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42361626496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48302712000).

42361626496 is an abundant number, since it is smaller than the sum of its proper divisors (54243797504).

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

42361626496 is an equidigital number, since it uses as much as digits as its factorization.

42361626496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77019 (or 77007 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 49.

The spelling of 42361626496 in words is "forty-two billion, three hundred sixty-one million, six hundred twenty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 619 896 1238 2476 4333 4952 8666 9904 17332 19808 34664 39616 69328 76379 79232 138656 152758 277312 305516 534653 554624 611032 1069306 1222064 2138612 2444128 4277224 4888256 8554448 9776512 17108896 34217792 47278601 68435584 94557202 189114404 330950207 378228808 661900414 756457616 1323800828 1512915232 2647601656 3025830464 5295203312 6051660928 10590406624 21180813248 42361626496