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15005550040 = 23513294373317
BaseRepresentation
bin11011111100110011…
…01000010111011000
31102201202120220220121
431332121220113120
5221212410100130
610520553003024
71040565033205
oct157631502730
942652526817
1015005550040
116400272928
122aa93b3474
131551a402c0
14a24c6acac
155cc55dd7a
hex37e6685d8

15005550040 has 256 divisors, whose sum is σ = 39138422400. Its totient is φ = 5137219584.

The previous prime is 15005550023. The next prime is 15005550137. The reversal of 15005550040 is 4005550051.

It is a junction number, because it is equal to n+sod(n) for n = 15005549987 and 15005550014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47335962 + ... + 47336278.

Almost surely, 215005550040 is an apocalyptic number.

15005550040 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 15005550040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19569211200).

15005550040 is an abundant number, since it is smaller than the sum of its proper divisors (24132872360).

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

15005550040 is a wasteful number, since it uses less digits than its factorization.

15005550040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 25.

The spelling of 15005550040 in words is "fifteen billion, five million, five hundred fifty thousand, forty".