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1663430144 = 2917223857
BaseRepresentation
bin110001100100101…
…1110111000000000
311021221001000011212
41203021132320000
511401314231034
6433021025252
756135631365
oct14311367000
94257030155
101663430144
11783a65762
123a50b5228
132068140bc
1411acc646c
159b07d2ce
hex6325ee00

1663430144 has 80 divisors (see below), whose sum is σ = 3539023488. Its totient is φ = 778371072.

The previous prime is 1663430117. The next prime is 1663430179. The reversal of 1663430144 is 4410343661.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1663430144.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1940564 + ... + 1941420.

Almost surely, 21663430144 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 1663430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769511744).

1663430144 is an abundant number, since it is smaller than the sum of its proper divisors (1875593344).

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

1663430144 is an equidigital number, since it uses as much as digits as its factorization.

1663430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 1663430144 is about 40785.1706383583. The cubic root of 1663430144 is about 1184.8631397900.

The spelling of 1663430144 in words is "one billion, six hundred sixty-three million, four hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 223 256 272 446 512 544 857 892 1088 1714 1784 2176 3428 3568 3791 4352 6856 7136 7582 8704 13712 14272 14569 15164 27424 28544 29138 30328 54848 57088 58276 60656 109696 114176 116552 121312 191111 219392 233104 242624 382222 438784 466208 485248 764444 932416 970496 1528888 1864832 1940992 3057776 3248887 3729664 6115552 6497774 7459328 12231104 12995548 24462208 25991096 48924416 51982192 97848832 103964384 207928768 415857536 831715072 1663430144