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105447731755148 = 221929216719750147
BaseRepresentation
bin10111111110011101110110…
…100101111111100010001100
3111211100201000201201102022222
4113332131312211333202030
5102310123423312131043
61012134004052354512
731132230044055416
oct2776356645774214
9454321021642288
10105447731755148
113066514a617162
12b9b0588015a38
1346ab8a86b0c33
141c079a9b279b6
15c2ce0e081d68
hex5fe77697f88c

105447731755148 has 144 divisors (see below), whose sum is σ = 203410927399680. Its totient is φ = 47693477083392.

The previous prime is 105447731755133. The next prime is 105447731755207. The reversal of 105447731755148 is 841557137744501.

105447731755148 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1054477317551482 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2102747411 + ... + 2102797557.

It is an arithmetic number, because the mean of its divisors is an integer number (1412575884720).

Almost surely, 2105447731755148 is an apocalyptic number.

It is an amenable number.

105447731755148 is a deficient number, since it is larger than the sum of its proper divisors (97963195644532).

105447731755148 is a wasteful number, since it uses less digits than its factorization.

105447731755148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50592 (or 50561 counting only the distinct ones).

The product of its (nonzero) digits is 65856000, while the sum is 62.

The spelling of 105447731755148 in words is "one hundred five trillion, four hundred forty-seven billion, seven hundred thirty-one million, seven hundred fifty-five thousand, one hundred forty-eight".

Divisors: 1 2 4 19 29 38 58 76 116 167 197 334 394 551 668 788 841 1102 1682 2204 3173 3364 3743 4843 5713 6346 7486 9686 11426 12692 14972 15979 19372 22852 31958 32899 50147 63916 65798 92017 100294 108547 131596 140447 165677 184034 200588 217094 280894 331354 368068 434188 561788 625081 662708 952793 954071 1250162 1454263 1905586 1908142 2500324 2668493 2908526 3147863 3811172 3816284 5336986 5817052 6295726 8374549 9878959 10673972 12591452 16749098 18127349 19757918 27630997 27668059 33498196 36254698 39515836 42173627 55261994 55336118 72509396 84347254 110523988 110672236 159116431 168694508 187700221 242861921 286489811 318232862 375400442 485723842 525693121 572979622 636465724 750800884 801298913 971447684 1051386242 1145959244 1602597826 1649786153 2102772484 3205195652 3299572306 4614376499 5443306409 6599144612 7042995709 8308204519 9228752998 10886612818 14085991418 16616409038 18457505996 21773225636 28171982836 31345936907 33232818076 47843798437 62691873814 95687596874 125383747628 133816918471 157855885861 191375193748 267633836942 315711771722 535267673884 631423543444 909032170303 1387470154673 1818064340606 2774940309346 3636128681212 5549880618692 26361932938787 52723865877574 105447731755148