Search a number
-
+
20041012432 = 2471931461659
BaseRepresentation
bin10010101010100010…
…011001010011010000
31220201200200220201201
4102222202121103100
5312020444344212
613112352240544
71306430536450
oct225242312320
956650626651
1020041012432
1185546a12a1
123a73840154
131b7503724c
14d8191dd60
157c466cb57
hex4aa8994d0

20041012432 has 160 divisors (see below), whose sum is σ = 48396902400. Its totient is φ = 7845465600.

The previous prime is 20041012417. The next prime is 20041012507. The reversal of 20041012432 is 23421014002.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30410919 + ... + 30411577.

It is an arithmetic number, because the mean of its divisors is an integer number (302480640).

Almost surely, 220041012432 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 20041012432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24198451200).

20041012432 is an abundant number, since it is smaller than the sum of its proper divisors (28355889968).

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

20041012432 is a wasteful number, since it uses less digits than its factorization.

20041012432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 20041012432 its reverse (23421014002), we get a palindrome (43462026434).

The spelling of 20041012432 in words is "twenty billion, forty-one million, twelve thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 31 38 56 62 76 112 124 133 152 217 248 266 304 434 461 496 532 589 659 868 922 1064 1178 1318 1736 1844 2128 2356 2636 3227 3472 3688 4123 4613 4712 5272 6454 7376 8246 8759 9226 9424 10544 12521 12908 14291 16492 17518 18452 20429 25042 25816 28582 32984 35036 36904 40858 50084 51632 57164 61313 65968 70072 73808 81716 87647 100037 100168 114328 122626 140144 143003 163432 175294 200074 200336 228656 245252 271529 286006 303799 326864 350588 388151 400148 490504 543058 572012 607598 701176 776302 800296 981008 1086116 1144024 1215196 1402352 1552604 1600592 1900703 2126593 2172232 2288048 2430392 2717057 3105208 3801406 4253186 4344464 4860784 5434114 5772181 6210416 7602812 8506372 9417769 10868228 11544362 15205624 17012744 18835538 21736456 23088724 30411248 34025488 37671076 40405267 43472912 46177448 65924383 75342152 80810534 92354896 131848766 150684304 161621068 178937611 263697532 323242136 357875222 527395064 646484272 715750444 1054790128 1252563277 1431500888 2505126554 2863001776 5010253108 10020506216 20041012432