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132838861656744 = 23322380216703899
BaseRepresentation
bin11110001101000011110101…
…001010010101001010101000
3122102100021022200001120211200
4132031003311022111022220
5114402412442041003434
61150305155223324200
736660201553511415
oct3615036512251250
9572307280046750
10132838861656744
11393657103376a1
1212a95089bb0660
135917860061089
1424b361430110c
15105569c443199
hex78d0f52952a8

132838861656744 has 48 divisors (see below), whose sum is σ = 375414174252000. Its totient is φ = 42354419658144.

The previous prime is 132838861656737. The next prime is 132838861656797. The reversal of 132838861656744 is 447656168838231.

132838861656744 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 3 + 8 + 8 + 6 + 16 + 567 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40108350294 + ... + 40108353605.

It is an arithmetic number, because the mean of its divisors is an integer number (7821128630250).

Almost surely, 2132838861656744 is an apocalyptic number.

It is an amenable number.

132838861656744 is an abundant number, since it is smaller than the sum of its proper divisors (242575312595256).

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

132838861656744 is a wasteful number, since it uses less digits than its factorization.

132838861656744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80216703934 (or 80216703927 counting only the distinct ones).

The product of its digits is 1114767360, while the sum is 72.

The spelling of 132838861656744 in words is "one hundred thirty-two trillion, eight hundred thirty-eight billion, eight hundred sixty-one million, six hundred fifty-six thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 80216703899 160433407798 240650111697 320866815596 481300223394 641733631192 721950335091 962600446788 1443900670182 1844984189677 1925200893576 2887801340364 3689968379354 5534952569031 5775602680728 7379936758708 11069905138062 14759873517416 16604857707093 22139810276124 33209715414186 44279620552248 66419430828372 132838861656744