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1663178112 = 27329671493
BaseRepresentation
bin110001100100010…
…0001010110000000
311021220120012110100
41203020201112000
511401233144422
6433011402400
756133531531
oct14310412600
94256505410
101663178112
11783903372
123a4bb3400
1320675647b
1411ac5c688
159b02d7ac
hex63221580

1663178112 has 96 divisors (see below), whose sum is σ = 4794126480. Its totient is φ = 553448448.

The previous prime is 1663178089. The next prime is 1663178113. The reversal of 1663178112 is 2118713661.

1663178112 is a `hidden beast` number, since 1 + 6 + 631 + 7 + 8 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×16631781122 = 5532322864471769088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1663178113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1113238 + ... + 1114730.

Almost surely, 21663178112 is an apocalyptic number.

1663178112 is a gapful number since it is divisible by the number (12) 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 1663178112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397063240).

1663178112 is an abundant number, since it is smaller than the sum of its proper divisors (3130948368).

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

1663178112 is a wasteful number, since it uses less digits than its factorization.

1663178112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480 (or 2465 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 1663178112 is about 40782.0807708484. The cubic root of 1663178112 is about 1184.8032958763.

The spelling of 1663178112 in words is "one billion, six hundred sixty-three million, one hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 967 1152 1493 1934 2901 2986 3868 4479 5802 5972 7736 8703 8958 11604 11944 13437 15472 17406 17916 23208 23888 26874 30944 34812 35832 46416 47776 53748 61888 69624 71664 92832 95552 107496 123776 139248 143328 185664 191104 214992 278496 286656 371328 429984 556992 573312 859968 1113984 1443731 1719936 2887462 4331193 5774924 8662386 11549848 12993579 17324772 23099696 25987158 34649544 46199392 51974316 69299088 92398784 103948632 138598176 184797568 207897264 277196352 415794528 554392704 831589056 1663178112