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1312985268 = 223372375511
BaseRepresentation
bin100111001000010…
…1001000010110100
310101111121120012000
41032100221002310
510142111012033
6334141455300
744352122250
oct11620510264
93344546160
101312985268
116141672a1
12307871530
1317c03357a
14c6541260
157a407a13
hex4e4290b4

1312985268 has 96 divisors (see below), whose sum is σ = 4059525120. Its totient is φ = 358823520.

The previous prime is 1312985257. The next prime is 1312985273. The reversal of 1312985268 is 8625892131.

1312985268 is a `hidden beast` number, since 1 + 31 + 2 + 98 + 526 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20368 + ... + 55143.

It is an arithmetic number, because the mean of its divisors is an integer number (42286720).

Almost surely, 21312985268 is an apocalyptic number.

1312985268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1312985268 is an abundant number, since it is smaller than the sum of its proper divisors (2746539852).

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

1312985268 is a wasteful number, since it uses less digits than its factorization.

1312985268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75554 (or 75546 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 1312985268 is about 36235.1385812170. The cubic root of 1312985268 is about 1095.0147042499.

The spelling of 1312985268 in words is "one billion, three hundred twelve million, nine hundred eighty-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 84 92 108 126 138 161 189 207 252 276 322 378 414 483 621 644 756 828 966 1242 1449 1932 2484 2898 4347 5796 8694 17388 75511 151022 226533 302044 453066 528577 679599 906132 1057154 1359198 1585731 1736753 2038797 2114308 2718396 3171462 3473506 4077594 4757193 5210259 6342924 6947012 8155188 9514386 10420518 12157271 14271579 15630777 19028772 20841036 24314542 28543158 31261554 36471813 46892331 48629084 57086316 62523108 72943626 93784662 109415439 145887252 187569324 218830878 328246317 437661756 656492634 1312985268