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10487018496 = 210361191293
BaseRepresentation
bin10011100010001001…
…10011010000000000
31000001212011201220110
421301010303100000
5132434134042441
64452341111320
7520610120643
oct116104632000
930055151813
1010487018496
1144a1715239
1220480b8540
13cb18788b6
14716ad9a5a
15415a0eb16
hex271133400

10487018496 has 176 divisors, whose sum is σ = 28656165888. Its totient is φ = 3408691200.

The previous prime is 10487018473. The next prime is 10487018519. The reversal of 10487018496 is 69481078401.

It is an interprime number because it is at equal distance from previous prime (10487018473) and next prime (10487018519).

It is a super-2 number, since 2×104870184962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35791726 + ... + 35792018.

Almost surely, 210487018496 is an apocalyptic number.

10487018496 is a gapful number since it is divisible by the number (16) 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 10487018496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14328082944).

10487018496 is an abundant number, since it is smaller than the sum of its proper divisors (18169147392).

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

10487018496 is a wasteful number, since it uses less digits than its factorization.

10487018496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 10487018496 in words is "ten billion, four hundred eighty-seven million, eighteen thousand, four hundred ninety-six".