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20414662542 = 23243149229773
BaseRepresentation
bin10011000000110011…
…110000011110001110
31221200201210022022200
4103000303300132032
5313302123200132
613213421022330
71321615524411
oct230063603616
957621708280
1020414662542
1187265aa13a
123b589b49a6
131c045810a1
14db93c5b78
157e7378d7c
hex4c0cf078e

20414662542 has 96 divisors (see below), whose sum is σ = 45822348000. Its totient is φ = 6564692736.

The previous prime is 20414662439. The next prime is 20414662547. The reversal of 20414662542 is 24526641402.

20414662542 is a `hidden beast` number, since 20 + 4 + 1 + 4 + 6 + 625 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20414662497 and 20414662506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20414662547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26409268 + ... + 26410040.

It is an arithmetic number, because the mean of its divisors is an integer number (477316125).

Almost surely, 220414662542 is an apocalyptic number.

20414662542 is an abundant number, since it is smaller than the sum of its proper divisors (25407685458).

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

20414662542 is a wasteful number, since it uses less digits than its factorization.

20414662542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 20414662542 in words is "twenty billion, four hundred fourteen million, six hundred sixty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 43 86 129 149 229 258 298 387 447 458 687 773 774 894 1341 1374 1546 2061 2319 2682 4122 4638 6407 6957 9847 12814 13914 19221 19694 29541 33239 34121 38442 57663 59082 66478 68242 88623 99717 102363 115177 115326 177017 177246 199434 204726 230354 299151 307089 345531 354034 531051 598302 614178 691062 1036593 1062102 1467203 1593153 2073186 2934406 3186306 4401609 4952611 7611731 8803218 9905222 13204827 14857833 15223462 22835193 26375533 26409654 29715666 44573499 45670386 52751066 68505579 79126599 89146998 137011158 158253198 237379797 474759594 1134147919 2268295838 3402443757 6804887514 10207331271 20414662542