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20187449424 = 2433431086749
BaseRepresentation
bin10010110011010001…
…000000100001010000
31221002220020200112000
4102303101000201100
5312320441340144
613135103034000
71313156326452
oct226321004120
957086220460
1020187449424
11861a31a5aa
123ab489b900
131b9948945c
14d9715c2d2
157d2446769
hex4b3440850

20187449424 has 80 divisors (see below), whose sum is σ = 59293080000. Its totient is φ = 6572651904.

The previous prime is 20187449423. The next prime is 20187449431. The reversal of 20187449424 is 42494478102.

20187449424 is a `hidden beast` number, since 2 + 0 + 187 + 4 + 49 + 424 = 666.

It is a super-2 number, since 2×201874494242 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20187449424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20187449423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 524799 + ... + 561950.

It is an arithmetic number, because the mean of its divisors is an integer number (741163500).

Almost surely, 220187449424 is an apocalyptic number.

20187449424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20187449424 is an abundant number, since it is smaller than the sum of its proper divisors (39105630576).

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

20187449424 is a wasteful number, since it uses less digits than its factorization.

20187449424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086809 (or 1086797 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 20187449424 in words is "twenty billion, one hundred eighty-seven million, four hundred forty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 258 344 387 432 516 688 774 1032 1161 1548 2064 2322 3096 4644 6192 9288 18576 1086749 2173498 3260247 4346996 6520494 8693992 9780741 13040988 17387984 19561482 26081976 29342223 39122964 46730207 52163952 58684446 78245928 93460414 117368892 140190621 156491856 186920828 234737784 280381242 373841656 420571863 469475568 560762484 747683312 841143726 1121524968 1261715589 1682287452 2243049936 2523431178 3364574904 5046862356 6729149808 10093724712 20187449424