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20126065368 = 2335970920047
BaseRepresentation
bin10010101111100110…
…110110001011011000
31220221121202001102110
4102233212312023120
5312204233042433
613125031232320
71311512506263
oct225746661330
956847661373
1020126065368
118598703882
123a982186a0
131b89846526
14d8cd3dcda
157cbd6d963
hex4af9b62d8

20126065368 has 64 divisors (see below), whose sum is σ = 51242688000. Its totient is φ = 6585351552.

The previous prime is 20126065367. The next prime is 20126065369. The reversal of 20126065368 is 86356062102.

It is an interprime number because it is at equal distance from previous prime (20126065367) and next prime (20126065369).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20126065367) 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 15 ways as a sum of consecutive naturals, for example, 993921 + ... + 1013967.

It is an arithmetic number, because the mean of its divisors is an integer number (800667000).

Almost surely, 220126065368 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 20126065368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25621344000).

20126065368 is an abundant number, since it is smaller than the sum of its proper divisors (31116622632).

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

20126065368 is a wasteful number, since it uses less digits than its factorization.

20126065368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20824 (or 20820 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 20126065368 in words is "twenty billion, one hundred twenty-six million, sixty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 354 472 708 709 1416 1418 2127 2836 4254 5672 8508 17016 20047 40094 41831 60141 80188 83662 120282 125493 160376 167324 240564 250986 334648 481128 501972 1003944 1182773 2365546 3548319 4731092 7096638 9462184 14193276 14213323 28386552 28426646 42639969 56853292 85279938 113706584 170559876 341119752 838586057 1677172114 2515758171 3354344228 5031516342 6708688456 10063032684 20126065368