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20416000510192 = 2471516703180097
BaseRepresentation
bin1001010010001011110000…
…11101010100100011110000
32200021202021011211000022011
410221011320131110203300
510133443432112311232
6111230551532452304
74205002345016440
oct451057035244360
980252234730264
1020416000510192
116561417053581
12235891131a094
13b512b3826591
145081d5486120
15256101326547
hex1291787548f0

20416000510192 has 80 divisors (see below), whose sum is σ = 45513283090432. Its totient is φ = 8690424422400.

The previous prime is 20416000510181. The next prime is 20416000510193. The reversal of 20416000510192 is 29101500061402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20416000510193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113271088 + ... + 113451184.

Almost surely, 220416000510192 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 20416000510192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22756641545216).

20416000510192 is an abundant number, since it is smaller than the sum of its proper divisors (25097282580240).

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

20416000510192 is a wasteful number, since it uses less digits than its factorization.

20416000510192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186966 (or 186960 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

Adding to 20416000510192 its reverse (29101500061402), we get a palindrome (49517500571594).

The spelling of 20416000510192 in words is "twenty trillion, four hundred sixteen billion, five hundred ten thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 151 302 604 1057 1208 2114 2416 4228 6703 8456 13406 16912 26812 46921 53624 93842 107248 180097 187684 360194 375368 720388 750736 1012153 1260679 1440776 2024306 2521358 2881552 4048612 5042716 7085071 8097224 10085432 14170142 16194448 20170864 27194647 28340284 54389294 56680568 108778588 113361136 190362529 217557176 380725058 435114352 761450116 1207190191 1522900232 2414380382 3045800464 4828760764 8450331337 9657521528 16900662674 19315043056 33801325348 67602650696 135205301392 182285718841 364571437682 729142875364 1276000031887 1458285750728 2552000063774 2916571501456 5104000127548 10208000255096 20416000510192