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4042663341632 = 2612747910192
BaseRepresentation
bin111010110101000001100…
…000110010111001000000
3112022110211011022000022022
4322311001200302321000
51012213333303413012
612333101321301012
7565033652300246
oct72650140627100
915273734260268
104042663341632
1113195360786a3
125535b3934768
132342b589ab96
14dd94751a796
157025b6d5472
hex3ad41832e40

4042663341632 has 84 divisors (see below), whose sum is σ = 8110165217280. Its totient is φ = 1999265087232.

The previous prime is 4042663341571. The next prime is 4042663341649. The reversal of 4042663341632 is 2361433662404.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3967284419 + ... + 3967285437.

It is an arithmetic number, because the mean of its divisors is an integer number (96549585920).

Almost surely, 24042663341632 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 4042663341632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055082608640).

4042663341632 is an abundant number, since it is smaller than the sum of its proper divisors (4067501875648).

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

4042663341632 is an equidigital number, since it uses as much as digits as its factorization.

4042663341632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 44.

The spelling of 4042663341632 in words is "four trillion, forty-two billion, six hundred sixty-three million, three hundred forty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 127 254 479 508 958 1016 1019 1916 2032 2038 3832 4064 4076 7664 8128 8152 15328 16304 30656 32608 60833 65216 121666 129413 243332 258826 486664 488101 517652 973328 976202 1035304 1038361 1946656 1952404 2070608 2076722 3893312 3904808 4141216 4153444 7809616 8282432 8306888 15619232 16613776 31238464 33227552 61988827 66455104 123977654 131871847 247955308 263743694 495910616 497374919 527487388 991821232 994749838 1054974776 1983642464 1989499676 2109949552 3967284928 3978999352 4219899104 7957998704 8439798208 15915997408 31831994816 63166614713 126333229426 252666458852 505332917704 1010665835408 2021331670816 4042663341632