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1481663460100 = 225222736518537
BaseRepresentation
bin10101100011111010000…
…001100011001100000100
312020122102200012101202011
4111203322001203030010
5143233421321210400
63052400010024004
7212022000416365
oct25437201431404
95218380171664
101481663460100
1152140843a58a
121bb1a6118004
13a99495635b5
14519da277b6c
152881c6b58ba
hex158fa063304

1481663460100 has 36 divisors (see below), whose sum is σ = 3216624724404. Its totient is φ = 592404551680.

The previous prime is 1481663460089. The next prime is 1481663460103. The reversal of 1481663460100 is 10643661841.

It can be written as a sum of positive squares in 6 ways, for example, as 199600384 + 1481463859716 = 14128^2 + 1217154^2 .

It is not an unprimeable number, because it can be changed into a prime (1481663460103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3031969 + ... + 3486568.

It is an arithmetic number, because the mean of its divisors is an integer number (89350686789).

Almost surely, 21481663460100 is an apocalyptic number.

1481663460100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1481663460100 is an abundant number, since it is smaller than the sum of its proper divisors (1734961264304).

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

1481663460100 is a wasteful number, since it uses less digits than its factorization.

1481663460100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6520824 (or 6520817 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 1481663460100 in words is "one trillion, four hundred eighty-one billion, six hundred sixty-three million, four hundred sixty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2273 4546 9092 11365 22730 45460 56825 113650 227300 6518537 13037074 26074148 32592685 65185370 130370740 162963425 325926850 651853700 14816634601 29633269202 59266538404 74083173005 148166346010 296332692020 370415865025 740831730050 1481663460100