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20284440006404 = 2272131790015579
BaseRepresentation
bin1001001110010110101101…
…10101110100111100000100
32122211011200111111221220202
410213023112311310330010
510124320013120201104
6111050313150350032
74162334222131400
oct447132665647404
978734614457822
1020284440006404
1165106456298a2
122337315abb318
13b41a78567432
14501ab4a48100
152529a14b651e
hex1272d6d74f04

20284440006404 has 36 divisors (see below), whose sum is σ = 41608540567440. Its totient is φ = 8626970111760.

The previous prime is 20284440006379. The next prime is 20284440006407. The reversal of 20284440006404 is 40460004448202.

It is a happy number.

It is a super-2 number, since 2×202844400064042 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20284440006407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 394982114 + ... + 395033465.

It is an arithmetic number, because the mean of its divisors is an integer number (1155792793540).

Almost surely, 220284440006404 is an apocalyptic number.

It is an amenable number.

20284440006404 is an abundant number, since it is smaller than the sum of its proper divisors (21324100561036).

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

20284440006404 is a wasteful number, since it uses less digits than its factorization.

20284440006404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790015728 (or 790015719 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 38.

The spelling of 20284440006404 in words is "twenty trillion, two hundred eighty-four billion, four hundred forty million, six thousand, four hundred four".

Divisors: 1 2 4 7 14 28 49 98 131 196 262 524 917 1834 3668 6419 12838 25676 790015579 1580031158 3160062316 5530109053 11060218106 22120436212 38710763371 77421526742 103492040849 154843053484 206984081698 413968163396 724444285943 1448888571886 2897777143772 5071110001601 10142220003202 20284440006404