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131372560016 = 241719101293859
BaseRepresentation
bin111101001011001101…
…0100010111010010000
3110120002120122111222222
41322112122202322100
54123022333410031
6140203545520212
712330351223025
oct1722632427220
9416076574888
10131372560016
1150795426855
12215644a3068
13c508366619
1465038b754c
15363d5d7e7b
hex1e966a2e90

131372560016 has 160 divisors (see below), whose sum is σ = 287812828800. Its totient is φ = 57723494400.

The previous prime is 131372560003. The next prime is 131372560049. The reversal of 131372560016 is 610065273131.

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, 152936195 + ... + 152937053.

It is an arithmetic number, because the mean of its divisors is an integer number (1798830180).

Almost surely, 2131372560016 is an apocalyptic number.

131372560016 is a gapful number since it is divisible by the number (16) 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 131372560016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143906414400).

131372560016 is an abundant number, since it is smaller than the sum of its proper divisors (156440268784).

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

131372560016 is a wasteful number, since it uses less digits than its factorization.

131372560016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The spelling of 131372560016 in words is "one hundred thirty-one billion, three hundred seventy-two million, five hundred sixty thousand, sixteen".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 101 136 152 202 272 293 304 323 404 586 646 808 859 1172 1292 1616 1717 1718 1919 2344 2584 3434 3436 3838 4688 4981 5168 5567 6868 6872 7676 9962 11134 13736 13744 14603 15352 16321 19924 22268 27472 29206 29593 30704 32623 32642 39848 44536 58412 59186 65246 65284 79696 86759 89072 94639 116824 118372 130492 130568 173518 189278 233648 236744 251687 260984 261136 277457 347036 378556 473488 503081 503374 521968 554914 562267 694072 757112 1006162 1006748 1109828 1124534 1388144 1474903 1514224 1648421 2012324 2013496 2219656 2249068 2949806 3296842 4024648 4026992 4278679 4439312 4498136 4782053 5899612 6593684 8049296 8557358 8996272 9558539 9564106 11799224 13187368 17114716 19117078 19128212 23598448 25420387 26374736 28023157 34229432 38234156 38256424 50840774 56046314 68458864 76468312 76512848 81294901 101681548 112092628 152936624 162589802 203363096 224185256 325179604 406726192 432146579 448370512 482987353 650359208 864293158 965974706 1300718416 1728586316 1931949412 3457172632 3863898824 6914345264 7727797648 8210785001 16421570002 32843140004 65686280008 131372560016