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42522806496 = 25312710933191
BaseRepresentation
bin100111100110100011…
…101000100011100000
311001202111011101102010
4213212203220203200
51144041314301441
631311255152520
73033516614532
oct474643504340
9131674141363
1042522806496
1117041019995
1282a8975740
134018938681
1420b5677852
15118d21a116
hex9e68e88e0

42522806496 has 96 divisors (see below), whose sum is σ = 112639500288. Its totient is φ = 14045391360.

The previous prime is 42522806489. The next prime is 42522806533. The reversal of 42522806496 is 69460822524.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13324261 + ... + 13327451.

It is an arithmetic number, because the mean of its divisors is an integer number (1173328128).

Almost surely, 242522806496 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 42522806496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56319750144).

42522806496 is an abundant number, since it is smaller than the sum of its proper divisors (70116693792).

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

42522806496 is a wasteful number, since it uses less digits than its factorization.

42522806496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4424 (or 4416 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 42522806496 in words is "forty-two billion, five hundred twenty-two million, eight hundred six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1093 1524 2032 2186 3048 3191 3279 4064 4372 6096 6382 6558 8744 9573 12192 12764 13116 17488 19146 25528 26232 34976 38292 51056 52464 76584 102112 104928 138811 153168 277622 306336 405257 416433 555244 810514 832866 1110488 1215771 1621028 1665732 2220976 2431542 3242056 3331464 3487763 4441952 4863084 6484112 6662928 6975526 9726168 10463289 12968224 13325856 13951052 19452336 20926578 27902104 38904672 41853156 55804208 83706312 111608416 167412624 334825248 442945901 885891802 1328837703 1771783604 2657675406 3543567208 5315350812 7087134416 10630701624 14174268832 21261403248 42522806496