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20134033392 = 243111912715803
BaseRepresentation
bin10010110000000101…
…001111011111110000
31220222011201212111110
4102300011033133300
5312213303032032
613125514113320
71311640313544
oct226005173760
956864655443
1020134033392
1185a2156320
123a9aa1b840
131b8b3a6235
14d90015a24
157cc8e47cc
hex4b014f7f0

20134033392 has 160 divisors (see below), whose sum is σ = 60201861120. Its totient is φ = 5734229760.

The previous prime is 20134033391. The next prime is 20134033393. The reversal of 20134033392 is 29333043102.

It is an interprime number because it is at equal distance from previous prime (20134033391) and next prime (20134033393).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20134033391) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1266163 + ... + 1281965.

It is an arithmetic number, because the mean of its divisors is an integer number (376261632).

Almost surely, 220134033392 is an apocalyptic number.

20134033392 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20134033392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30100930560).

20134033392 is an abundant number, since it is smaller than the sum of its proper divisors (40067827728).

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

20134033392 is a wasteful number, since it uses less digits than its factorization.

20134033392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15971 (or 15965 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 20134033392 its reverse (29333043102), we get a palindrome (49467076494).

The spelling of 20134033392 in words is "twenty billion, one hundred thirty-four million, thirty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 127 132 152 176 209 228 254 264 304 381 418 456 508 528 627 762 836 912 1016 1254 1397 1524 1672 2032 2413 2508 2794 3048 3344 4191 4826 5016 5588 6096 7239 8382 9652 10032 11176 14478 15803 16764 19304 22352 26543 28956 31606 33528 38608 47409 53086 57912 63212 67056 79629 94818 106172 115824 126424 159258 173833 189636 212344 252848 300257 318516 347666 379272 424688 521499 600514 637032 695332 758544 900771 1042998 1201028 1274064 1390664 1801542 2006981 2085996 2402056 2781328 3302827 3603084 4013962 4171992 4804112 6020943 6605654 7206168 8027924 8343984 9908481 12041886 13211308 14412336 16055848 19816962 22076791 24083772 26422616 32111696 38132639 39633924 44153582 48167544 52845232 66230373 76265278 79267848 88307164 96335088 114397917 132460746 152530556 158535696 176614328 228795834 264921492 305061112 353228656 419459029 457591668 529842984 610122224 838918058 915183336 1059685968 1258377087 1677836116 1830366672 2516754174 3355672232 5033508348 6711344464 10067016696 20134033392