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16145631463312 = 2413229732820509
BaseRepresentation
bin1110101011110011001010…
…1000001100011110010000
32010011111200211001122212001
43222330302220030132100
54104012223123311222
654201111203443344
73254324541023251
oct352746250143620
963144624048761
1016145631463312
11516536205531a
12198916b386554
139016ac99c800
143db64a424b28
151ceeb91d8e27
hexeaf32a0c790

16145631463312 has 120 divisors (see below), whose sum is σ = 35521672170600. Its totient is φ = 7096307871744.

The previous prime is 16145631463303. The next prime is 16145631463319. The reversal of 16145631463312 is 21336413654161.

It can be written as a sum of positive squares in 12 ways, for example, as 2650852884736 + 13494778578576 = 1628144^2 + 3673524^2 .

It is not an unprimeable number, because it can be changed into a prime (16145631463319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4314114 + ... + 7134622.

It is an arithmetic number, because the mean of its divisors is an integer number (296013934755).

Almost surely, 216145631463312 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 16145631463312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17760836085300).

16145631463312 is an abundant number, since it is smaller than the sum of its proper divisors (19376040707288).

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

16145631463312 is a wasteful number, since it uses less digits than its factorization.

16145631463312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820645 (or 2820626 counting only the distinct ones).

The product of its digits is 933120, while the sum is 46.

The spelling of 16145631463312 in words is "sixteen trillion, one hundred forty-five billion, six hundred thirty-one million, four hundred sixty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 29 52 58 73 104 116 146 169 208 232 292 338 377 464 584 676 754 949 1168 1352 1508 1898 2117 2704 3016 3796 4234 4901 6032 7592 8468 9802 12337 15184 16936 19604 24674 27521 33872 39208 49348 55042 78416 98696 110084 197392 220168 357773 440336 715546 1431092 2820509 2862184 5641018 5724368 11282036 22564072 36666617 45128144 73333234 81794761 146666468 163589522 205897157 293332936 327179044 411794314 476666021 586665872 654358088 823588628 953332042 1063331893 1308716176 1647177256 1906664084 2126663786 2676663041 3294354512 3813328168 4253327572 5353326082 5971017553 7626656336 8506655144 10706652164 11942035106 13823314609 17013310288 21413304328 23884070212 27646629218 34796619533 42826608656 47768140424 55293258436 69593239066 77623228189 95536280848 110586516872 139186478132 155246456378 221173033744 278372956264 310492912756 556745912528 620985825512 1009101966457 1241971651024 2018203932914 4036407865828 8072815731656 16145631463312