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12734158405408 = 251159719852799
BaseRepresentation
bin1011100101001110011011…
…1111001111111100100000
31200002101002101122021201121
42321103212333033330200
53132114024022433113
643025554104342024
72453004213336556
oct271234677177440
950071071567647
1012734158405408
11406a587494010
121517b6ba74914
13714a978c601b
1432049d717bd6
151713a0c16e8d
hexb94e6fcff20

12734158405408 has 96 divisors (see below), whose sum is σ = 27851765760000. Its totient is φ = 5682227185920.

The previous prime is 12734158405363. The next prime is 12734158405447. The reversal of 12734158405408 is 80450485143721.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14505793 + ... + 15358591.

It is an arithmetic number, because the mean of its divisors is an integer number (290122560000).

Almost surely, 212734158405408 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 12734158405408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13925882880000).

12734158405408 is an abundant number, since it is smaller than the sum of its proper divisors (15117607354592).

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

12734158405408 is a wasteful number, since it uses less digits than its factorization.

12734158405408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853598 (or 853590 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 52.

The spelling of 12734158405408 in words is "twelve trillion, seven hundred thirty-four billion, one hundred fifty-eight million, four hundred five thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 59 88 118 176 236 352 472 649 719 944 1298 1438 1888 2596 2876 5192 5752 7909 10384 11504 15818 20768 23008 31636 42421 63272 84842 126544 169684 253088 339368 466631 678736 852799 933262 1357472 1705598 1866524 3411196 3733048 6822392 7466096 9380789 13644784 14932192 18761578 27289568 37523156 50315141 75046312 100630282 150092624 201260564 300185248 402521128 553466551 613162481 805042256 1106933102 1226324962 1610084512 2213866204 2452649924 4427732408 4905299848 6744787291 8855464816 9810599696 13489574582 17710929632 19621199392 26979149164 36176586379 53958298328 72353172758 107916596656 144706345516 215833193312 289412691032 397942450169 578825382064 795884900338 1157650764128 1591769800676 3183539601352 6367079202704 12734158405408