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23217216442542 = 23223891613939043
BaseRepresentation
bin1010100011101101011011…
…11100000101000010101110
310001012112200201210100212100
411101312231330011002232
511020342324402130132
6121213501511515530
74614250160413023
oct521665574050256
9101175621710770
1023217216442542
117441403457021
12272b79a988ba6
13cc54b2c195c5
145a3a0d97754a
152a3dee22c37c
hex151dadf050ae

23217216442542 has 96 divisors (see below), whose sum is σ = 53085534278400. Its totient is φ = 7318774590336.

The previous prime is 23217216442531. The next prime is 23217216442549. The reversal of 23217216442542 is 24524461271232.

23217216442542 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 7 + 2 + 1 + 64 + 42 + 542 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23217216442549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 594638073 + ... + 594677115.

It is an arithmetic number, because the mean of its divisors is an integer number (552974315400).

Almost surely, 223217216442542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23217216442542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26542767139200).

23217216442542 is an abundant number, since it is smaller than the sum of its proper divisors (29868317835858).

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

23217216442542 is a wasteful number, since it uses less digits than its factorization.

23217216442542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55302 (or 55299 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The spelling of 23217216442542 in words is "twenty-three trillion, two hundred seventeen billion, two hundred sixteen million, four hundred forty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 89 138 178 207 267 414 534 801 1602 2047 4094 6141 12282 16139 18423 32278 36846 39043 48417 78086 96834 117129 145251 234258 290502 351387 371197 702774 742394 897989 1113591 1436371 1795978 2227182 2693967 2872742 3340773 3474827 4309113 5387934 6681546 6949654 8081901 8618226 10424481 12927339 16163802 20848962 25854678 31273443 33036533 62546886 66073066 79921021 99109599 159842042 198219198 239763063 297328797 479526126 594657594 630114977 719289189 1260229954 1438578378 1890344931 3780689862 5671034793 11342069586 14492644471 28985288942 43477933413 56080232953 86955866826 112160465906 130433800239 168240698859 260867600478 336481397718 504722096577 1009444193154 1289845357919 2579690715838 3869536073757 7739072147514 11608608221271 23217216442542