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10978035840 = 2733519291153
BaseRepresentation
bin10100011100101011…
…11000100010000000
31001100002010000002000
422032111320202000
5134440334121330
65013201224000
7536021523252
oct121625704200
931302100060
1010978035840
1147238a68a2
122164632000
13105c5071c5
14761dd3cd2
15443ba1560
hex28e578880

10978035840 has 512 divisors, whose sum is σ = 42374880000. Its totient is φ = 2675441664.

The previous prime is 10978035839. The next prime is 10978035847. The reversal of 10978035840 is 4853087901.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10978035847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9520704 + ... + 9521856.

Almost surely, 210978035840 is an apocalyptic number.

10978035840 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 10978035840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21187440000).

10978035840 is an abundant number, since it is smaller than the sum of its proper divisors (31396844160).

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

10978035840 is a wasteful number, since it uses less digits than its factorization.

10978035840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10978035840 in words is "ten billion, nine hundred seventy-eight million, thirty-five thousand, eight hundred forty".