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16126140515000 = 235430710639883
BaseRepresentation
bin1110101010101010100011…
…1000001000001010111000
32010002122101110101220020112
43222222220320020022320
54103202313432440000
654144125141043452
73253034536503125
oct352525070101270
963078343356215
1016126140515000
11515806aa0537a
12198542b9b6588
138cc8c48c8cb9
143da71b9ad74c
151ce727ec3235
hexeaaa8e082b8

16126140515000 has 160 divisors (see below), whose sum is σ = 37946119854720. Its totient is φ = 6422746608000.

The previous prime is 16126140514927. The next prime is 16126140515021. The reversal of 16126140515000 is 51504162161.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1631700059 + ... + 1631709941.

It is an arithmetic number, because the mean of its divisors is an integer number (237163249092).

Almost surely, 216126140515000 is an apocalyptic number.

16126140515000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16126140515000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18973059927360).

16126140515000 is an abundant number, since it is smaller than the sum of its proper divisors (21819979339720).

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

16126140515000 is a wasteful number, since it uses less digits than its factorization.

16126140515000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11279 (or 11260 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

Adding to 16126140515000 its reverse (51504162161), we get a palindrome (16177644677161).

The spelling of 16126140515000 in words is "sixteen trillion, one hundred twenty-six billion, one hundred forty million, five hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 307 500 614 625 1000 1063 1228 1250 1535 2126 2456 2500 3070 4252 5000 5315 6140 7675 8504 9883 10630 12280 15350 19766 21260 26575 30700 38375 39532 42520 49415 53150 61400 76750 79064 98830 106300 132875 153500 191875 197660 212600 247075 265750 307000 326341 383750 395320 494150 531500 652682 664375 767500 988300 1063000 1235375 1305364 1328750 1535000 1631705 1976600 2470750 2610728 2657500 3034081 3263410 4941500 5315000 6068162 6176875 6526820 8158525 9883000 10505629 12136324 12353750 13053640 15170405 16317050 21011258 24272648 24707500 30340810 32634100 40792625 42022516 49415000 52528145 60681620 65268200 75852025 81585250 84045032 105056290 121363240 151704050 163170500 203963125 210112580 262640725 303408100 326341000 379260125 407926250 420225160 525281450 606816200 758520250 815852500 1050562900 1313203625 1517040500 1631705000 1896300625 2101125800 2626407250 3034081000 3225228103 3792601250 5252814500 6450456206 6566018125 7585202500 10505629000 12900912412 13132036250 15170405000 16126140515 25801824824 26264072500 32252281030 52528145000 64504562060 80630702575 129009124120 161261405150 322522810300 403153512875 645045620600 806307025750 1612614051500 2015767564375 3225228103000 4031535128750 8063070257500 16126140515000