Search a number
-
+
20464435242 = 2332319982799
BaseRepresentation
bin10011000011110001…
…101000000000101010
31221211012110000122000
4103003301220000222
5313402343411432
613222355511430
71323061554336
oct230361500052
957735400560
1020464435242
1187517050a9
123b715b8576
131c11989ba4
14dc1c607c6
157eb90b57c
hex4c3c6802a

20464435242 has 64 divisors (see below), whose sum is σ = 47692800000. Its totient is φ = 6492025584.

The previous prime is 20464435231. The next prime is 20464435259. The reversal of 20464435242 is 24253446402.

20464435242 is a `hidden beast` number, since 2 + 0 + 4 + 644 + 3 + 5 + 2 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20464435197 and 20464435206.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 205759 + ... + 288557.

It is an arithmetic number, because the mean of its divisors is an integer number (745200000).

Almost surely, 220464435242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20464435242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23846400000).

20464435242 is an abundant number, since it is smaller than the sum of its proper divisors (27228364758).

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

20464435242 is a wasteful number, since it uses less digits than its factorization.

20464435242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83032 (or 83026 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 20464435242 in words is "twenty billion, four hundred sixty-four million, four hundred thirty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 199 207 398 414 597 621 1194 1242 1791 3582 4577 5373 9154 10746 13731 27462 41193 82386 82799 123579 165598 247158 248397 496794 745191 1490382 1904377 2235573 3808754 4471146 5713131 11426262 16477001 17139393 32954002 34278786 49431003 51418179 98862006 102836358 148293009 296586018 378971023 444879027 757942046 889758054 1136913069 2273826138 3410739207 6821478414 10232217621 20464435242