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1293142256832 = 26323292831127
BaseRepresentation
bin10010110100010101010…
…010001110110011000000
311120121211022022000010110
4102310111102032303000
5132141323404204312
62430021130231320
7162266161552146
oct22642522166300
94517738260113
101293142256832
11459467101258
1218a752885540
1394c3440bb4a
144683489d596
1523986d5b43c
hex12d1548ecc0

1293142256832 has 56 divisors (see below), whose sum is σ = 3570197112576. Its totient is φ = 412306225408.

The previous prime is 1293142256807. The next prime is 1293142256837. The reversal of 1293142256832 is 2386522413921.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1293142256837) 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 7 ways as a sum of consecutive naturals, for example, 146411148 + ... + 146419979.

Almost surely, 21293142256832 is an apocalyptic number.

1293142256832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1293142256832 is an abundant number, since it is smaller than the sum of its proper divisors (2277054855744).

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

1293142256832 is a wasteful number, since it uses less digits than its factorization.

1293142256832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292831165 (or 292831155 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The spelling of 1293142256832 in words is "one trillion, two hundred ninety-three billion, one hundred forty-two million, two hundred fifty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 4416 292831127 585662254 878493381 1171324508 1756986762 2342649016 3513973524 4685298032 6735115921 7027947048 9370596064 13470231842 14055894096 18741192128 20205347763 26940463684 28111788192 40410695526 53880927368 56223576384 80821391052 107761854736 161642782104 215523709472 323285564208 431047418944 646571128416 1293142256832