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10480043293440 = 28357374310709
BaseRepresentation
bin1001100010000001001101…
…0000011111101100000000
31101002212211020101020020220
42120200103100133230000
52333201112040342230
634142244310503040
72131105146123000
oct230402320375400
941085736336226
1010480043293440
11338061a2524a6
121213129364a80
135b0357879296
14283345ada000
15132923a0cd10
hex9881341fb00

10480043293440 has 576 divisors, whose sum is σ = 39088998144000. Its totient is φ = 2391991074816.

The previous prime is 10480043293439. The next prime is 10480043293441. The reversal of 10480043293440 is 4439234008401.

It is an interprime number because it is at equal distance from previous prime (10480043293439) and next prime (10480043293441).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10480043293392 and 10480043293401.

It is not an unprimeable number, because it can be changed into a prime (10480043293441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 978614806 + ... + 978625514.

It is an arithmetic number, because the mean of its divisors is an integer number (67862844000).

Almost surely, 210480043293440 is an apocalyptic number.

10480043293440 is a gapful number since it is divisible by the number (10) 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 10480043293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19544499072000).

10480043293440 is an abundant number, since it is smaller than the sum of its proper divisors (28608954850560).

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

10480043293440 is an equidigital number, since it uses as much as digits as its factorization.

10480043293440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11497 (or 11469 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 10480043293440 in words is "ten trillion, four hundred eighty billion, forty-three million, two hundred ninety-three thousand, four hundred forty".