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1481468000148 = 223241151888893
BaseRepresentation
bin10101100011101110010…
…111111011011110010100
312020121221001102000002200
4111203232113323132110
5143233021302001043
63052324344404500
7212014105141323
oct25435627733624
95217831360080
101481468000148
11521318078634
121bb150776730
13a9917c08916
14519bc3180ba
152880a4567d3
hex158ee5fb794

1481468000148 has 18 divisors (see below), whose sum is σ = 3744821889354. Its totient is φ = 493822666704.

The previous prime is 1481468000119. The next prime is 1481468000167. The reversal of 1481468000148 is 8410008641841.

1481468000148 is a `hidden beast` number, since 1 + 48 + 1 + 468 + 0 + 0 + 0 + 148 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1315214461584 + 166253538564 = 1146828^2 + 407742^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20575944411 + ... + 20575944482.

Almost surely, 21481468000148 is an apocalyptic number.

1481468000148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1481468000148 is an abundant number, since it is smaller than the sum of its proper divisors (2263353889206).

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

1481468000148 is a wasteful number, since it uses less digits than its factorization.

1481468000148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41151888903 (or 41151888898 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 1481468000148 in words is "one trillion, four hundred eighty-one billion, four hundred sixty-eight million, one hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 41151888893 82303777786 123455666679 164607555572 246911333358 370367000037 493822666716 740734000074 1481468000148