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20088722440 = 2354138931489
BaseRepresentation
bin10010101101011000…
…011001010000001000
31220212000110211120001
4102231120121100020
5312120203104230
613121215012344
71310550215623
oct225530312010
956760424501
1020088722440
118579618556
123a8780a0b4
131b81ba0217
14d87dbcdba
157c89440ca
hex4ad619408

20088722440 has 64 divisors (see below), whose sum is σ = 46422558000. Its totient is φ = 7819100160.

The previous prime is 20088722431. The next prime is 20088722461. The reversal of 20088722440 is 4422788002.

It can be written as a sum of positive squares in 8 ways, for example, as 2248846084 + 17839876356 = 47422^2 + 133566^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20088722440.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 622216 + ... + 653704.

Almost surely, 220088722440 is an apocalyptic number.

20088722440 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 20088722440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23211279000).

20088722440 is an abundant number, since it is smaller than the sum of its proper divisors (26333835560).

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

20088722440 is a wasteful number, since it uses less digits than its factorization.

20088722440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31930 (or 31926 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 37.

The spelling of 20088722440 in words is "twenty billion, eighty-eight million, seven hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 389 410 778 820 1556 1640 1945 3112 3890 7780 15560 15949 31489 31898 62978 63796 79745 125956 127592 157445 159490 251912 314890 318980 629780 637960 1259560 1291049 2582098 5164196 6455245 10328392 12249221 12910490 24498442 25820980 48996884 51641960 61246105 97993768 122492210 244984420 489968840 502218061 1004436122 2008872244 2511090305 4017744488 5022180610 10044361220 20088722440