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20002144640 = 27533194421
BaseRepresentation
bin10010101000001110…
…001000000110000000
31220121222120020010212
4102220032020012000
5311431022112030
613104443213252
71305446265332
oct225016100600
956558506125
1020002144640
118534764355
123a62817228
131b69c78b5a
14d7a6c3452
157c1041595
hex4a8388180

20002144640 has 64 divisors (see below), whose sum is σ = 47962599120. Its totient is φ = 7976601600.

The previous prime is 20002144639. The next prime is 20002144651. The reversal of 20002144640 is 4644120002.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164630 + ... + 259050.

Almost surely, 220002144640 is an apocalyptic number.

20002144640 is a gapful number since it is divisible by the number (20) 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 20002144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23981299560).

20002144640 is an abundant number, since it is smaller than the sum of its proper divisors (27960454480).

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

20002144640 is an equidigital number, since it uses as much as digits as its factorization.

20002144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94771 (or 94759 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 20002144640 its reverse (4644120002), we get a palindrome (24646264642).

The spelling of 20002144640 in words is "twenty billion, two million, one hundred forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 331 640 662 1324 1655 2648 3310 5296 6620 10592 13240 21184 26480 42368 52960 94421 105920 188842 211840 377684 472105 755368 944210 1510736 1888420 3021472 3776840 6042944 7553680 12085888 15107360 30214720 31253351 60429440 62506702 125013404 156266755 250026808 312533510 500053616 625067020 1000107232 1250134040 2000214464 2500268080 4000428928 5000536160 10001072320 20002144640