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20007041076 = 22321150999259
BaseRepresentation
bin10010101000100000…
…110011100000110100
31220122022202222210100
4102220200303200310
5311433300303301
613105140154100
71305536020551
oct225040634064
956568688710
1020007041076
1185374a90a0
123a64398930
131b6aca1759
14d7b1d9a28
157c16ac286
hex4a8833834

20007041076 has 72 divisors (see below), whose sum is σ = 55279879200. Its totient is φ = 6050767680.

The previous prime is 20007041071. The next prime is 20007041083. The reversal of 20007041076 is 67014070002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20007041071) 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 23 ways as a sum of consecutive naturals, for example, 151935 + ... + 251193.

It is an arithmetic number, because the mean of its divisors is an integer number (767776100).

Almost surely, 220007041076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20007041076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27639939600).

20007041076 is an abundant number, since it is smaller than the sum of its proper divisors (35272838124).

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

20007041076 is a wasteful number, since it uses less digits than its factorization.

20007041076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99789 (or 99784 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 20007041076 in words is "twenty billion, seven million, forty-one thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 509 1018 1527 2036 3054 4581 5599 6108 9162 11198 16797 18324 22396 33594 50391 67188 99259 100782 198518 201564 297777 397036 595554 893331 1091849 1191108 1786662 2183698 3275547 3573324 4367396 6551094 9826641 13102188 19653282 39306564 50522831 101045662 151568493 202091324 303136986 454705479 555751141 606273972 909410958 1111502282 1667253423 1818821916 2223004564 3334506846 5001760269 6669013692 10003520538 20007041076