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20016611200 = 275218793329
BaseRepresentation
bin10010101001000101…
…010011111110000000
31220122222210012112101
4102221011103332000
5311443223024300
613110121240144
71306013250025
oct225105237600
956588705471
1020016611200
118541945293
123a67633054
131b6cc72751
14d7c5ab54c
157c244cb6a
hex4a9153f80

20016611200 has 96 divisors (see below), whose sum is σ = 49488462000. Its totient is φ = 7999979520.

The previous prime is 20016611141. The next prime is 20016611203. The reversal of 20016611200 is 211661002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20016611203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6011136 + ... + 6014464.

Almost surely, 220016611200 is an apocalyptic number.

20016611200 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 20016611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24744231000).

20016611200 is an abundant number, since it is smaller than the sum of its proper divisors (29471850800).

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

20016611200 is a wasteful number, since it uses less digits than its factorization.

20016611200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5232 (or 5215 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The spelling of 20016611200 in words is "twenty billion, sixteen million, six hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 1879 3200 3329 3758 6658 7516 9395 13316 15032 16645 18790 26632 30064 33290 37580 46975 53264 60128 66580 75160 83225 93950 106528 120256 133160 150320 166450 187900 213056 240512 266320 300640 332900 375800 426112 532640 601280 665800 751600 1065280 1202560 1331600 1503200 2130560 2663200 3006400 5326400 6012800 6255191 10652800 12510382 25020764 31275955 50041528 62551910 100083056 125103820 156379775 200166112 250207640 312759550 400332224 500415280 625519100 800664448 1000830560 1251038200 2001661120 2502076400 4003322240 5004152800 10008305600 20016611200