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3790422003456 = 283411236171171
BaseRepresentation
bin110111001010000110110…
…000011100111100000000
3111102100202000201101020000
4313022012300130330000
5444100241013102311
612021143522120000
7540564122300664
oct67120660347400
914370660641200
103790422003456
11123156644a950
125127387b0000
132165873659aa
14d165918a8a4
15688e6c36056
hex37286c1cf00

3790422003456 has 720 divisors, whose sum is σ = 12897776441088. Its totient is φ = 1095955660800.

The previous prime is 3790422003409. The next prime is 3790422003463. The reversal of 3790422003456 is 6543002240973.

3790422003456 is a `hidden beast` number, since 379 + 0 + 4 + 220 + 0 + 3 + 4 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3236909751 + ... + 3236910921.

Almost surely, 23790422003456 is an apocalyptic number.

3790422003456 is a gapful number since it is divisible by the number (36) 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 3790422003456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6448888220544).

3790422003456 is an abundant number, since it is smaller than the sum of its proper divisors (9107354437632).

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

3790422003456 is a wasteful number, since it uses less digits than its factorization.

3790422003456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 3790422003456 in words is "three trillion, seven hundred ninety billion, four hundred twenty-two million, three thousand, four hundred fifty-six".