Search a number
-
+
20010544000 = 27536172027
BaseRepresentation
bin10010101000101110…
…001010101110000000
31220122120100221220021
4102220232022232000
5311440144402000
613105343223224
71305610550266
oct225056125600
956576327807
1020010544000
118539480977
123a655a7b14
131b6b929ca5
14d7b86c436
157c1b5011a
hex4a8b8ab80

20010544000 has 128 divisors (see below), whose sum is σ = 49856433120. Its totient is φ = 7987302400.

The previous prime is 20010543967. The next prime is 20010544003. The reversal of 20010544000 is 44501002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20010544003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9870987 + ... + 9873013.

Almost surely, 220010544000 is an apocalyptic number.

20010544000 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 20010544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24928216560).

20010544000 is an abundant number, since it is smaller than the sum of its proper divisors (29845889120).

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

20010544000 is an equidigital number, since it uses as much as digits as its factorization.

20010544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2673 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The spelling of 20010544000 in words is "twenty billion, ten million, five hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 617 640 800 1000 1234 1600 2000 2027 2468 3085 3200 4000 4054 4936 6170 8000 8108 9872 10135 12340 15425 16000 16216 19744 20270 24680 30850 32432 39488 40540 49360 50675 61700 64864 77125 78976 81080 98720 101350 123400 129728 154250 162160 197440 202700 246800 253375 259456 308500 324320 394880 405400 493600 506750 617000 648640 810800 987200 1013500 1234000 1250659 1297280 1621600 1974400 2027000 2468000 2501318 3243200 4054000 4936000 5002636 6253295 6486400 8108000 9872000 10005272 12506590 16216000 20010544 25013180 31266475 32432000 40021088 50026360 62532950 80042176 100052720 125065900 156332375 160084352 200105440 250131800 312664750 400210880 500263600 625329500 800421760 1000527200 1250659000 2001054400 2501318000 4002108800 5002636000 10005272000 20010544000