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1042676497296 = 243371923789017
BaseRepresentation
bin11110010110001000101…
…11001011101110010000
310200200022220210010001000
433023010113023232100
5114040400140403141
62114555435542000
7135221331664650
oct17130427135620
93620286703030
101042676497296
11372218777a75
1214a0b22ba900
13774299c5cc5
143867428a360
151c1c81de5b6
hexf2c45cbb90

1042676497296 has 320 divisors, whose sum is σ = 3756988108800. Its totient is φ = 269957090304.

The previous prime is 1042676497249. The next prime is 1042676497337. The reversal of 1042676497296 is 6927946762401.

It is a happy number.

1042676497296 is a `hidden beast` number, since 10 + 42 + 6 + 7 + 6 + 497 + 2 + 96 = 666.

1042676497296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 926980 + ... + 1715996.

It is an arithmetic number, because the mean of its divisors is an integer number (11740587840).

Almost surely, 21042676497296 is an apocalyptic number.

1042676497296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042676497296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878494054400).

1042676497296 is an abundant number, since it is smaller than the sum of its proper divisors (2714311611504).

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

1042676497296 is a wasteful number, since it uses less digits than its factorization.

1042676497296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789083 (or 789071 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 1042676497296 in words is "one trillion, forty-two billion, six hundred seventy-six million, four hundred ninety-seven thousand, two hundred ninety-six".