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20963209400 = 23527216712809
BaseRepresentation
bin10011100001100000…
…010011000010111000
32000002221222101010222
4103201200103002320
5320413040200100
613344054155212
71341326224400
oct234140230270
960087871128
1020963209400
118988204551
124090652b08
131c91103023
14102c1b7800
1582a5d1485
hex4e18130b8

20963209400 has 144 divisors (see below), whose sum is σ = 57040880400. Its totient is φ = 7143790080.

The previous prime is 20963209387. The next prime is 20963209403. The reversal of 20963209400 is 490236902.

It is a super-2 number, since 2×209632094002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20963209403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1630196 + ... + 1643004.

It is an arithmetic number, because the mean of its divisors is an integer number (396117225).

Almost surely, 220963209400 is an apocalyptic number.

20963209400 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 20963209400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28520440200).

20963209400 is an abundant number, since it is smaller than the sum of its proper divisors (36077671000).

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

20963209400 is a wasteful number, since it uses less digits than its factorization.

20963209400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13006 (or 12990 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The spelling of 20963209400 in words is "twenty billion, nine hundred sixty-three million, two hundred nine thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 167 175 196 200 245 280 334 350 392 490 668 700 835 980 1169 1225 1336 1400 1670 1960 2338 2450 3340 4175 4676 4900 5845 6680 8183 8350 9352 9800 11690 12809 16366 16700 23380 25618 29225 32732 33400 40915 46760 51236 58450 64045 65464 81830 89663 102472 116900 128090 163660 179326 204575 233800 256180 320225 327320 358652 409150 448315 512360 627641 640450 717304 818300 896630 1255282 1280900 1636600 1793260 2139103 2241575 2510564 2561800 3138205 3586520 4278206 4483150 5021128 6276410 8556412 8966300 10695515 12552820 14973721 15691025 17112824 17932600 21391030 25105640 29947442 31382050 42782060 53477575 59894884 62764100 74868605 85564120 104816047 106955150 119789768 125528200 149737210 209632094 213910300 299474420 374343025 419264188 427820600 524080235 598948840 748686050 838528376 1048160470 1497372100 2096320940 2620401175 2994744200 4192641880 5240802350 10481604700 20963209400