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117646576144 = 24172335175347
BaseRepresentation
bin110110110010001001…
…0000100101000010000
3102020122222210021212221
41231210102010220100
53411420010414034
6130013542230424
711333251253236
oct1554422045020
9366588707787
10117646576144
1145991474a29
121a973725414
13b12b758586
1459a096c956
1530d857ebb4
hex1b64484a10

117646576144 has 80 divisors (see below), whose sum is σ = 251960623488. Its totient is φ = 52931045376.

The previous prime is 117646576081. The next prime is 117646576153. The reversal of 117646576144 is 441675646711.

It is a junction number, because it is equal to n+sod(n) for n = 117646576091 and 117646576100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21999679 + ... + 22005025.

Almost surely, 2117646576144 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 117646576144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125980311744).

117646576144 is an abundant number, since it is smaller than the sum of its proper divisors (134314047344).

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

117646576144 is a wasteful number, since it uses less digits than its factorization.

117646576144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8912 (or 8906 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 52.

The spelling of 117646576144 in words is "one hundred seventeen billion, six hundred forty-six million, five hundred seventy-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 184 272 368 391 782 1564 3128 3517 5347 6256 7034 10694 14068 21388 28136 42776 56272 59789 80891 85552 90899 119578 122981 161782 181798 239156 245962 323564 363596 478312 491924 647128 727192 956624 983848 1294256 1375147 1454384 1967696 2090677 2750294 4181354 5500588 8362708 11001176 16725416 18805399 22002352 33450832 37610798 75221596 150443192 300886384 319691783 432524177 639383566 865048354 1278767132 1730096708 2557534264 3460193416 5115068528 6920386832 7352911009 14705822018 29411644036 58823288072 117646576144