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13848994591776 = 2532711674055561
BaseRepresentation
bin1100100110000111100001…
…1001110011010000100000
31211000221200020121102002100
43021201320121303100200
53303400220103414101
645242050145050400
72626361665512021
oct311417031632040
954027606542070
1013848994591776
11445a36444a453
121678040326a00
13795c542c2aa6
1435c41b362c48
1519039de1ee86
hexc9878673420

13848994591776 has 144 divisors (see below), whose sum is σ = 40176927842688. Its totient is φ = 4524058291200.

The previous prime is 13848994591769. The next prime is 13848994591793. The reversal of 13848994591776 is 67719549984831.

13848994591776 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 8 + 99 + 459 + 1 + 7 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 13848994591695 and 13848994591704.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1387036 + ... + 5442596.

It is an arithmetic number, because the mean of its divisors is an integer number (279006443352).

Almost surely, 213848994591776 is an apocalyptic number.

13848994591776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13848994591776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20088463921344).

13848994591776 is an abundant number, since it is smaller than the sum of its proper divisors (26327933250912).

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

13848994591776 is a wasteful number, since it uses less digits than its factorization.

13848994591776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4055815 (or 4055804 counting only the distinct ones).

The product of its digits is 3292047360, while the sum is 81.

The spelling of 13848994591776 in words is "thirteen trillion, eight hundred forty-eight billion, nine hundred ninety-four million, five hundred ninety-one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 167 213 284 288 334 426 501 568 639 668 852 1002 1136 1278 1336 1503 1704 2004 2272 2556 2672 3006 3408 4008 5112 5344 6012 6816 8016 10224 11857 12024 16032 20448 23714 24048 35571 47428 48096 71142 94856 106713 142284 189712 213426 284568 379424 426852 569136 853704 1138272 1707408 3414816 4055561 8111122 12166683 16222244 24333366 32444488 36500049 48666732 64888976 73000098 97333464 129777952 146000196 194666928 287944831 292000392 389333856 575889662 584000784 677278687 863834493 1151779324 1168001568 1354557374 1727668986 2031836061 2303558648 2591503479 2709114748 3455337972 4063672122 4607117296 5183006958 5418229496 6095508183 6910675944 8127344244 9214234592 10366013916 10836458992 12191016366 13821351888 16254688488 20732027832 21672917984 24382032732 27642703776 32509376976 41464055664 48086786777 48764065464 65018753952 82928111328 96173573554 97528130928 144260360331 192347147108 195056261856 288520720662 384694294216 432781080993 577041441324 769388588432 865562161986 1154082882648 1538777176864 1731124323972 2308165765296 3462248647944 4616331530592 6924497295888 13848994591776