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1293198893568 = 2932280642121
BaseRepresentation
bin10010110100011000101…
…010010010001000000000
311120121222020212110010100
4102310120222102020000
5132141432404043233
62430030512202400
7162300450140631
oct22643052221000
94517866773110
101293198893568
1145949607527a
1218a769839400
1394c4307bcca
144683c203888
152398bce7813
hex12d18a92200

1293198893568 has 60 divisors (see below), whose sum is σ = 3732259580478. Its totient is φ = 431066296320.

The previous prime is 1293198893561. The next prime is 1293198893579. The reversal of 1293198893568 is 8653988913921.

1293198893568 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 198 + 89 + 356 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 842195314944 + 451003578624 = 917712^2 + 671568^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1293198893496 and 1293198893505.

It is not an unprimeable number, because it can be changed into a prime (1293198893561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140316453 + ... + 140325668.

Almost surely, 21293198893568 is an apocalyptic number.

1293198893568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1293198893568 is an abundant number, since it is smaller than the sum of its proper divisors (2439060686910).

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

1293198893568 is an equidigital number, since it uses as much as digits as its factorization.

1293198893568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280642145 (or 280642126 counting only the distinct ones).

The product of its digits is 201553920, while the sum is 72.

The spelling of 1293198893568 in words is "one trillion, two hundred ninety-three billion, one hundred ninety-eight million, eight hundred ninety-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 280642121 561284242 841926363 1122568484 1683852726 2245136968 2525779089 3367705452 4490273936 5051558178 6735410904 8980547872 10103116356 13470821808 17961095744 20206232712 26941643616 35922191488 40412465424 53883287232 71844382976 80824930848 107766574464 143688765952 161649861696 215533148928 323299723392 431066297856 646599446784 1293198893568