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1463125968 = 243271143107
BaseRepresentation
bin101011100110101…
…1000011111010000
310202222010111111200
41113031120133100
510444030012333
6401103511200
751154236243
oct12715303720
93688114450
101463125968
11690995217
12349bb8500
131a4181515
14dc46525a
15886b3c13
hex573587d0

1463125968 has 60 divisors (see below), whose sum is σ = 4152421728. Its totient is φ = 480836160.

The previous prime is 1463125903. The next prime is 1463125973. The reversal of 1463125968 is 8695213641.

1463125968 is a `hidden beast` number, since 1 + 4 + 631 + 2 + 5 + 9 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61330 + ... + 81777.

Almost surely, 21463125968 is an apocalyptic number.

1463125968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1463125968 is an abundant number, since it is smaller than the sum of its proper divisors (2689295760).

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

1463125968 is a wasteful number, since it uses less digits than its factorization.

1463125968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143192 (or 143183 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 1463125968 is about 38250.8296380614. The cubic root of 1463125968 is about 1135.2562620081.

The spelling of 1463125968 in words is "one billion, four hundred sixty-three million, one hundred twenty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2556 3408 5112 10224 143107 286214 429321 572428 858642 1144856 1287963 1717284 2289712 2575926 3434568 5151852 6869136 10160597 10303704 20321194 20607408 30481791 40642388 60963582 81284776 91445373 121927164 162569552 182890746 243854328 365781492 487708656 731562984 1463125968