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20354002512 = 24337109105143
BaseRepresentation
bin10010111101001100…
…010110111001010000
31221112111122110101220
4102331030112321100
5313141111040022
613203412525040
71320251111124
oct227514267120
957474573356
1020354002512
1186a5338388
123b40620780
131bc4b3288c
14db1315584
157e1d9585c
hex4bd316e50

20354002512 has 80 divisors (see below), whose sum is σ = 54498238080. Its totient is φ = 6540673536.

The previous prime is 20354002507. The next prime is 20354002517. The reversal of 20354002512 is 21520045302.

It is an interprime number because it is at equal distance from previous prime (20354002507) and next prime (20354002517).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20354002517) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 141013 + ... + 246155.

It is an arithmetic number, because the mean of its divisors is an integer number (681227976).

Almost surely, 220354002512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20354002512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27249119040).

20354002512 is an abundant number, since it is smaller than the sum of its proper divisors (34144235568).

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

20354002512 is a wasteful number, since it uses less digits than its factorization.

20354002512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105300 (or 105294 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 20354002512 its reverse (21520045302), we get a palindrome (41874047814).

The spelling of 20354002512 in words is "twenty billion, three hundred fifty-four million, two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 109 111 148 218 222 296 327 436 444 592 654 872 888 1308 1744 1776 2616 4033 5232 8066 12099 16132 24198 32264 48396 64528 96792 105143 193584 210286 315429 420572 630858 841144 1261716 1682288 2523432 3890291 5046864 7780582 11460587 11670873 15561164 22921174 23341746 31122328 34381761 45842348 46683492 62244656 68763522 91684696 93366984 137527044 183369392 186733968 275054088 424041719 550108176 848083438 1272125157 1696166876 2544250314 3392333752 5088500628 6784667504 10177001256 20354002512