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38851490845440 = 28325713313779409
BaseRepresentation
bin10001101010101110100010…
…10011111001001100000000
312002120011111012022212102200
420311113101103321030000
520043020323124023230
6214344043431113200
711116633106232420
oct1065272123711400
9162504435285380
1038851490845440
11114199087a92a9
124435819812800
13188a8ab887c50
149845ca6c0480
1547593a713160
hex2355d14f9300

38851490845440 has 3456 divisors, whose sum is σ = 178049576140800. Its totient is φ = 7602076385280.

The previous prime is 38851490845379. The next prime is 38851490845481. The reversal of 38851490845440 is 4454809415883.

It is a happy number.

38851490845440 is a `hidden beast` number, since 3 + 8 + 8 + 5 + 1 + 4 + 9 + 0 + 84 + 544 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 94991419956 + ... + 94991420364.

Almost surely, 238851490845440 is an apocalyptic number.

38851490845440 is a gapful number since it is divisible by the number (30) 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 38851490845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89024788070400).

38851490845440 is an abundant number, since it is smaller than the sum of its proper divisors (139198085295360).

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

38851490845440 is a wasteful number, since it uses less digits than its factorization.

38851490845440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 63.

The spelling of 38851490845440 in words is "thirty-eight trillion, eight hundred fifty-one billion, four hundred ninety million, eight hundred forty-five thousand, four hundred forty".