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20442536334 = 23211293796221
BaseRepresentation
bin10011000010011110…
…000101100110001110
31221202200020102222100
4103002132011212032
5313331242130314
613220254255530
71322404456203
oct230236054616
957680212870
1020442536334
118740308130
123b661b75a6
131c0a29035c
14dbcd9dcaa
157e9a32c09
hex4c278598e

20442536334 has 96 divisors (see below), whose sum is σ = 51336361440. Its totient is φ = 5819385600.

The previous prime is 20442536333. The next prime is 20442536341. The reversal of 20442536334 is 43363524402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20442536333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164344 + ... + 260564.

It is an arithmetic number, because the mean of its divisors is an integer number (534753765).

Almost surely, 220442536334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20442536334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25668180720).

20442536334 is an abundant number, since it is smaller than the sum of its proper divisors (30893825106).

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

20442536334 is a wasteful number, since it uses less digits than its factorization.

20442536334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96306 (or 96303 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

The spelling of 20442536334 in words is "twenty billion, four hundred forty-two million, five hundred thirty-six thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 29 33 37 58 66 74 87 99 111 174 198 222 261 319 333 407 522 638 666 814 957 1073 1221 1914 2146 2442 2871 3219 3663 5742 6438 7326 9657 11803 19314 23606 35409 70818 96221 106227 192442 212454 288663 577326 865989 1058431 1731978 2116862 2790409 3175293 3560177 5580818 6350586 7120354 8371227 9525879 10680531 16742454 19051758 21361062 25113681 30694499 32041593 39161947 50227362 61388998 64083186 78323894 92083497 103245133 117485841 184166994 206490266 234971682 276250491 309735399 352457523 552500982 619470798 704915046 929206197 1135696463 1858412394 2271392926 3407089389 6814178778 10221268167 20442536334