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10978492140 = 2236572112127
BaseRepresentation
bin10100011100101111…
…00111111011101100
31001100002222012000000
422032113213323230
5134440443222030
65013215104300
7536025433500
oct121627477354
931302865000
1010978492140
114724088700
122164812090
13105c636ac5
147620b2300
15443c41860
hex28e5e7eec

10978492140 has 756 divisors, whose sum is σ = 44545713408. Its totient is φ = 2263282560.

The previous prime is 10978492139. The next prime is 10978492211. The reversal of 10978492140 is 4129487901.

It is a happy number.

10978492140 is a `hidden beast` number, since 10 + 9 + 7 + 8 + 492 + 140 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

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

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 86444757 + ... + 86444883.

Almost surely, 210978492140 is an apocalyptic number.

10978492140 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 10978492140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22272856704).

10978492140 is an abundant number, since it is smaller than the sum of its proper divisors (33567221268).

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

10978492140 is a wasteful number, since it uses less digits than its factorization.

10978492140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 10978492140 in words is "ten billion, nine hundred seventy-eight million, four hundred ninety-two thousand, one hundred forty".