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1293438447312 = 243112449694029
BaseRepresentation
bin10010110100100110111…
…100000110111011010000
311120122120221122001002020
4102310212330012323100
5132142430220303222
62430110350451440
7162306416254224
oct22644674067320
94518527561066
101293438447312
114595a9313580
1218a815b03b80
1394c808a499b
1446861d60784
15239a2d6665c
hex12d26f06ed0

1293438447312 has 40 divisors (see below), whose sum is σ = 3645144716640. Its totient is φ = 391951044480.

The previous prime is 1293438447283. The next prime is 1293438447319. The reversal of 1293438447312 is 2137448343921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1293438447319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1224846487 + ... + 1224847542.

It is an arithmetic number, because the mean of its divisors is an integer number (91128617916).

Almost surely, 21293438447312 is an apocalyptic number.

1293438447312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1293438447312 is an abundant number, since it is smaller than the sum of its proper divisors (2351706269328).

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

1293438447312 is a wasteful number, since it uses less digits than its factorization.

1293438447312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449694051 (or 2449694045 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 51.

The spelling of 1293438447312 in words is "one trillion, two hundred ninety-three billion, four hundred thirty-eight million, four hundred forty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 2449694029 4899388058 7349082087 9798776116 14698164174 19597552232 26946634319 29396328348 39195104464 53893268638 58792656696 80839902957 107786537276 117585313392 161679805914 215573074552 323359611828 431146149104 646719223656 1293438447312