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1082146513216 = 26175231901759
BaseRepresentation
bin11111011111101001111…
…01010110000101000000
310211110012122120200001111
433233310331112011000
5120212214001410331
62145044203213104
7141116412410446
oct17576475260500
93743178520044
101082146513216
11387a3254a13a
12155888817194
137b07a025802
143a53a2d8b96
151d2383d8db1
hexfbf4f56140

1082146513216 has 56 divisors (see below), whose sum is σ = 2278049840640. Its totient is φ = 508271450112.

The previous prime is 1082146513187. The next prime is 1082146513219. The reversal of 1082146513216 is 6123156412801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082146513219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381856 + ... + 1519903.

It is an arithmetic number, because the mean of its divisors is an integer number (40679461440).

Almost surely, 21082146513216 is an apocalyptic number.

1082146513216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1082146513216 is an abundant number, since it is smaller than the sum of its proper divisors (1195903327424).

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

1082146513216 is a wasteful number, since it uses less digits than its factorization.

1082146513216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902311 (or 1902301 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 1082146513216 in words is "one trillion, eighty-two billion, one hundred forty-six million, five hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 523 544 1046 1088 2092 4184 8368 8891 16736 17782 33472 35564 71128 142256 284512 569024 1901759 3803518 7607036 15214072 30428144 32329903 60856288 64659806 121712576 129319612 258639224 517278448 994619957 1034556896 1989239914 2069113792 3978479828 7956959656 15913919312 16908539269 31827838624 33817078538 63655677248 67634157076 135268314152 270536628304 541073256608 1082146513216