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20015416290 = 23531103223937
BaseRepresentation
bin10010101001000000…
…110000001111100010
31220122220112111102110
4102221000300033202
5311442421310130
613110035500150
71306000142232
oct225100601742
956586474373
1020015416290
1185411a9561
123a67157656
131b6c9448bc
14d7c379cc2
157c22b3ab0
hex4a90303e2

20015416290 has 128 divisors (see below), whose sum is σ = 50346196992. Its totient is φ = 5086748160.

The previous prime is 20015416279. The next prime is 20015416303. The reversal of 20015416290 is 9261451002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21360702 + ... + 21361638.

It is an arithmetic number, because the mean of its divisors is an integer number (393329664).

Almost surely, 220015416290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20015416290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25173098496).

20015416290 is an abundant number, since it is smaller than the sum of its proper divisors (30330780702).

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

20015416290 is a wasteful number, since it uses less digits than its factorization.

20015416290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304.

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 20015416290 its reverse (9261451002), we get a palindrome (29276867292).

The spelling of 20015416290 in words is "twenty billion, fifteen million, four hundred sixteen thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 103 155 186 206 223 309 310 446 465 515 618 669 930 937 1030 1115 1338 1545 1874 2230 2811 3090 3193 3345 4685 5622 6386 6690 6913 9370 9579 13826 14055 15965 19158 20739 22969 28110 29047 31930 34565 41478 45938 47895 58094 68907 69130 87141 95790 96511 103695 114845 137814 145235 174282 193022 207390 208951 229690 289533 290470 344535 417902 435705 482555 579066 626853 689070 712039 871410 965110 1044755 1253706 1424078 1447665 2089510 2136117 2895330 2991841 3134265 3560195 4272234 5983682 6268530 6477481 7120390 8975523 10680585 12954962 14959205 17951046 19432443 21361170 21521953 29918410 32387405 38864886 43043906 44877615 64565859 64774810 89755230 97162215 107609765 129131718 194324430 215219530 322829295 645658590 667180543 1334361086 2001541629 3335902715 4003083258 6671805430 10007708145 20015416290