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20887542200 = 2352777319301
BaseRepresentation
bin10011011100111111…
…101001100110111000
31222220200121002021002
4103130333221212320
5320234202322300
613332352304132
71336420115330
oct233477514670
958820532232
1020887542200
118949522678
12406b242048
131c7b52bb35
14102211c0c0
15823b365d5
hex4dcfe99b8

20887542200 has 96 divisors (see below), whose sum is σ = 55575862560. Its totient is φ = 7151808000.

The previous prime is 20887542191. The next prime is 20887542211. The reversal of 20887542200 is 224578802.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1072550 + ... + 1091850.

It is an arithmetic number, because the mean of its divisors is an integer number (578915235).

Almost surely, 220887542200 is an apocalyptic number.

20887542200 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 20887542200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27787931280).

20887542200 is an abundant number, since it is smaller than the sum of its proper divisors (34688320360).

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

20887542200 is a wasteful number, since it uses less digits than its factorization.

20887542200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20097 (or 20088 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 38.

The spelling of 20887542200 in words is "twenty billion, eight hundred eighty-seven million, five hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 773 1400 1546 3092 3865 5411 6184 7730 10822 15460 19301 19325 21644 27055 30920 38602 38650 43288 54110 77204 77300 96505 108220 135107 135275 154408 154600 193010 216440 270214 270550 386020 482525 540428 541100 675535 772040 965050 1080856 1082200 1351070 1930100 2702140 3377675 3860200 5404280 6755350 13510700 14919673 27021400 29839346 59678692 74598365 104437711 119357384 149196730 208875422 298393460 372991825 417750844 522188555 596786920 745983650 835501688 1044377110 1491967300 2088754220 2610942775 2983934600 4177508440 5221885550 10443771100 20887542200