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20850811400 = 2352713674001
BaseRepresentation
bin10011011010110011…
…100010001000001000
31222211010110222002002
4103122303202020020
5320200301431100
613325001130132
71335462654416
oct233263421010
958733428062
1020850811400
11892a815241
12405aa89948
131c73a3b333
14101b2ba2b6
158207cd2d5
hex4dace2208

20850811400 has 96 divisors (see below), whose sum is σ = 49307201280. Its totient is φ = 8198400000.

The previous prime is 20850811367. The next prime is 20850811403. The reversal of 20850811400 is 411805802.

It is not an unprimeable number, because it can be changed into a prime (20850811403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5209400 + ... + 5213400.

It is an arithmetic number, because the mean of its divisors is an integer number (513616680).

Almost surely, 220850811400 is an apocalyptic number.

20850811400 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 20850811400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24653600640).

20850811400 is an abundant number, since it is smaller than the sum of its proper divisors (28456389880).

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

20850811400 is a wasteful number, since it uses less digits than its factorization.

20850811400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4455 (or 4446 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The spelling of 20850811400 in words is "twenty billion, eight hundred fifty million, eight hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 142 200 284 355 367 568 710 734 1420 1468 1775 1835 2840 2936 3550 3670 4001 7100 7340 8002 9175 14200 14680 16004 18350 20005 26057 32008 36700 40010 52114 73400 80020 100025 104228 130285 160040 200050 208456 260570 284071 400100 521140 568142 651425 800200 1042280 1136284 1302850 1420355 1468367 2272568 2605700 2840710 2936734 5211400 5681420 5873468 7101775 7341835 11362840 11746936 14203550 14683670 28407100 29367340 36709175 56814200 58734680 73418350 104254057 146836700 208508114 293673400 417016228 521270285 834032456 1042540570 2085081140 2606351425 4170162280 5212702850 10425405700 20850811400