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19670999040 = 21334572112
BaseRepresentation
bin10010010100011110…
…111010000000000000
31212202220110021210000
4102110132322000000
5310241233432130
613011533440000
71264315506300
oct222436720000
955686407700
1019670999040
118384847800
12398b940000
131b16494804
14d48723600
157a1e2e260
hex4947ba000

19670999040 has 1260 divisors, whose sum is σ = 90168853698. Its totient is φ = 4087480320.

The previous prime is 19670999027. The next prime is 19670999059. The reversal of 19670999040 is 4099907691.

It can be written as a sum of positive squares in only one way, i.e., 17703899136 + 1967099904 = 133056^2 + 44352^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1788272635 + ... + 1788272645.

Almost surely, 219670999040 is an apocalyptic number.

19670999040 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 19670999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45084426849).

19670999040 is an abundant number, since it is smaller than the sum of its proper divisors (70497854658).

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

19670999040 is an equidigital number, since it uses as much as digits as its factorization.

19670999040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 19670999040 in words is "nineteen billion, six hundred seventy million, nine hundred ninety-nine thousand, forty".