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16970005440 = 263455991093
BaseRepresentation
bin11111100110111110…
…11011101111000000
31121210200001121010000
433303133123233000
5234223310133230
611443530040000
71140350444343
oct176337335700
947720047100
1016970005440
117219142293
123357279000
1317a5a20a4b
14b6db1245a
15694c4eb60
hex3f37dbbc0

16970005440 has 280 divisors, whose sum is σ = 60521392800. Its totient is φ = 4513646592.

The previous prime is 16970005397. The next prime is 16970005457. The reversal of 16970005440 is 4450007961.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16970005395 and 16970005404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15525534 + ... + 15526626.

Almost surely, 216970005440 is an apocalyptic number.

16970005440 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 16970005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30260696400).

16970005440 is an abundant number, since it is smaller than the sum of its proper divisors (43551387360).

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

16970005440 is a wasteful number, since it uses less digits than its factorization.

16970005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 16970005440 in words is "sixteen billion, nine hundred seventy million, five thousand, four hundred forty".