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16514652541344 = 2534316572414389
BaseRepresentation
bin1111000001010001110111…
…1111111001000110100000
32011110210012112022201222120
43300110131333321012200
54131034002022310334
655042420542104240
73323100325313436
oct360243577710640
964423175281876
1016514652541344
115297908907071
121a2879787b080
1392a42c1a8899
1441145615ad56
151d98b608c949
hexf051dff91a0

16514652541344 has 96 divisors (see below), whose sum is σ = 44385913978560. Its totient is φ = 5373616453632.

The previous prime is 16514652541337. The next prime is 16514652541363. The reversal of 16514652541344 is 44314525641561.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×165146525413442 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5632902 + ... + 8047290.

It is an arithmetic number, because the mean of its divisors is an integer number (462353270610).

Almost surely, 216514652541344 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 16514652541344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22192956989280).

16514652541344 is an abundant number, since it is smaller than the sum of its proper divisors (27871261437216).

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

16514652541344 is a wasteful number, since it uses less digits than its factorization.

16514652541344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416102 (or 2416094 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 51.

The spelling of 16514652541344 in words is "sixteen trillion, five hundred fourteen billion, six hundred fifty-two million, five hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 1657 2064 3314 4128 4971 6628 9942 13256 19884 26512 39768 53024 71251 79536 142502 159072 213753 285004 427506 570008 855012 1140016 1710024 2280032 2414389 3420048 4828778 6840096 7243167 9657556 14486334 19315112 28972668 38630224 57945336 77260448 103818727 115890672 207637454 231781344 311456181 415274908 622912362 830549816 1245824724 1661099632 2491649448 3322199264 4000642573 4983298896 8001285146 9966597792 12001927719 16002570292 24003855438 32005140584 48007710876 64010281168 96015421752 128020562336 172027630639 192030843504 344055261278 384061687008 516082891917 688110522556 1032165783834 1376221045112 2064331567668 2752442090224 4128663135336 5504884180448 8257326270672 16514652541344