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1004991430212 = 22327211379136657
BaseRepresentation
bin11101001111111100010…
…10000011111001000100
310120002001120200100111200
432213332022003321010
5112431210301231322
62045404154102500
7132415424131500
oct16477612037104
93502046610450
101004991430212
1135823a50a330
1214293571aa30
1373a02416843
14368db317300
151b21ea788ac
hexe9fe283e44

1004991430212 has 216 divisors, whose sum is σ = 3232333409760. Its totient is φ = 260346078720.

The previous prime is 1004991430169. The next prime is 1004991430213. The reversal of 1004991430212 is 2120341994001.

1004991430212 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 9 + 9 + 1 + 430 + 212 = 666.

It is a super-2 number, since 2×10049914302122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1004991430213) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7285788 + ... + 7422444.

Almost surely, 21004991430212 is an apocalyptic number.

1004991430212 is a gapful number since it is divisible by the number (12) 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 1004991430212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616166704880).

1004991430212 is an abundant number, since it is smaller than the sum of its proper divisors (2227341979548).

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

1004991430212 is a wasteful number, since it uses less digits than its factorization.

1004991430212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137071 (or 137059 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 1004991430212 in words is "one trillion, four billion, nine hundred ninety-one million, four hundred thirty thousand, two hundred twelve".