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20350010320 = 2451466917341
BaseRepresentation
bin10010111100111101…
…001000001111010000
31221112020010122010221
4102330331020033100
5313134100312240
613203151202424
71320202143103
oct227475101720
957466118127
1020350010320
1186a3060a52
123b3b216414
131bc4065733
14db099673a
157e1857a4a
hex4bcf483d0

20350010320 has 40 divisors (see below), whose sum is σ = 47319728040. Its totient is φ = 8138979840.

The previous prime is 20350010309. The next prime is 20350010341. The reversal of 20350010320 is 2301005302.

It can be written as a sum of positive squares in 4 ways, for example, as 7021769616 + 13328240704 = 83796^2 + 115448^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20350010294 and 20350010303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1164850 + ... + 1182190.

It is an arithmetic number, because the mean of its divisors is an integer number (1182993201).

Almost surely, 220350010320 is an apocalyptic number.

20350010320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20350010320 is an abundant number, since it is smaller than the sum of its proper divisors (26969717720).

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

20350010320 is a wasteful number, since it uses less digits than its factorization.

20350010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32023 (or 32017 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

Adding to 20350010320 its reverse (2301005302), we get a palindrome (22651015622).

The spelling of 20350010320 in words is "twenty billion, three hundred fifty million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 14669 17341 29338 34682 58676 69364 73345 86705 117352 138728 146690 173410 234704 277456 293380 346820 586760 693640 1173520 1387280 254375129 508750258 1017500516 1271875645 2035001032 2543751290 4070002064 5087502580 10175005160 20350010320