Search a number
-
+
1168080666816 = 26378167106417
BaseRepresentation
bin10000111111110111000…
…010001000000011000000
311010200000112211222110010
4100333313002020003000
5123114212122314231
62252335302304520
7150251061563430
oct20776702100300
94120015758403
101168080666816
114104200a2698
1216a46ba28140
13861c36b02cb
144076d2222c0
15205b7835546
hex10ff70880c0

1168080666816 has 112 divisors (see below), whose sum is σ = 3532519118336. Its totient is φ = 333693333504.

The previous prime is 1168080666811. The next prime is 1168080666829. The reversal of 1168080666816 is 6186660808611.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×11680806668162 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1168080666811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10923240 + ... + 11029656.

Almost surely, 21168080666816 is an apocalyptic number.

1168080666816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1168080666816 is an abundant number, since it is smaller than the sum of its proper divisors (2364438451520).

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

1168080666816 is a wasteful number, since it uses less digits than its factorization.

1168080666816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114606 (or 114596 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 57.

The spelling of 1168080666816 in words is "one trillion, one hundred sixty-eight billion, eighty million, six hundred sixty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 8167 16334 24501 32668 49002 57169 65336 98004 106417 114338 130672 171507 196008 212834 228676 261344 319251 343014 392016 425668 457352 522688 638502 686028 744919 784032 851336 914704 1277004 1372056 1489838 1568064 1702672 1829408 2234757 2554008 2744112 2979676 3405344 3658816 4469514 5108016 5488224 5959352 6810688 8939028 10216032 10976448 11918704 17878056 20432064 23837408 35756112 47674816 71512224 143024448 869107639 1738215278 2607322917 3476430556 5214645834 6083753473 6952861112 10429291668 12167506946 13905722224 18251260419 20858583336 24335013892 27811444448 36502520838 41717166672 48670027784 55622888896 73005041676 83434333344 97340055568 146010083352 166868666688 194680111136 292020166704 389360222272 584040333408 1168080666816