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11112634896144 = 2433197149516721
BaseRepresentation
bin1010000110110101110010…
…1001111100111100010000
31110100100122122002020200120
42201231130221330330100
52424032134013134034
635345023552150240
72224601311044615
oct241553451747420
943310578066616
1011112634896144
1135a4929769541
1212b5852b38380
13627bbc7915b2
142a5bd668250c
151440e9c76c49
hexa1b5ca7cf10

11112634896144 has 160 divisors (see below), whose sum is σ = 30140187571200. Its totient is φ = 3523947724800.

The previous prime is 11112634896133. The next prime is 11112634896257. The reversal of 11112634896144 is 44169843621111.

11112634896144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 21247704 + ... + 21764424.

It is an arithmetic number, because the mean of its divisors is an integer number (188376172320).

Almost surely, 211112634896144 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 11112634896144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15070093785600).

11112634896144 is an abundant number, since it is smaller than the sum of its proper divisors (19027552675056).

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

11112634896144 is a wasteful number, since it uses less digits than its factorization.

11112634896144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517009 (or 517003 counting only the distinct ones).

The product of its digits is 995328, while the sum is 51.

The spelling of 11112634896144 in words is "eleven trillion, one hundred twelve billion, six hundred thirty-four million, eight hundred ninety-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 97 124 149 186 194 248 291 298 372 388 447 496 582 596 744 776 894 1164 1192 1488 1552 1788 2328 2384 3007 3576 4619 4656 6014 7152 9021 9238 12028 13857 14453 18042 18476 24056 27714 28906 36084 36952 43359 48112 55428 57812 72168 73904 86718 110856 115624 144336 173436 221712 231248 346872 448043 516721 693744 896086 1033442 1344129 1550163 1792172 2066884 2688258 3100326 3584344 4133768 5376516 6200652 7168688 8267536 10753032 12401304 16018351 21506064 24802608 32036702 48055053 50121937 64073404 76991429 96110106 100243874 128146808 150365811 153982858 192220212 200487748 230974287 256293616 300731622 307965716 384440424 400975496 461948574 601463244 615931432 768880848 801950992 923897148 1202926488 1231862864 1553780047 1847794296 2386734299 2405852976 3107560094 3695588592 4661340141 4773468598 6215120188 7160202897 7468168613 9322680282 9546937196 12430240376 14320405794 14936337226 18645360564 19093874392 22404505839 24860480752 28640811588 29872674452 37290721128 38187748784 44809011678 57281623176 59745348904 74581442256 89618023356 114563246352 119490697808 179236046712 231513227003 358472093424 463026454006 694539681009 926052908012 1389079362018 1852105816024 2778158724036 3704211632048 5556317448072 11112634896144