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20187361248 = 253642732719
BaseRepresentation
bin10010110011010000…
…101010111111100000
31221002220002012120020
4102303100222333200
5312320431024443
613135101113440
71313155511415
oct226320527740
957086065506
1020187361248
11861a26a32a
123ab4858880
131b99458292
14d9713810c
157d242a583
hex4b342afe0

20187361248 has 48 divisors (see below), whose sum is σ = 53001688320. Its totient is φ = 6727867776.

The previous prime is 20187361247. The next prime is 20187361307. The reversal of 20187361248 is 84216378102.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20187361247) 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 7 ways as a sum of consecutive naturals, for example, 600633 + ... + 633351.

It is an arithmetic number, because the mean of its divisors is an integer number (1104201840).

Almost surely, 220187361248 is an apocalyptic number.

It is an amenable number.

20187361248 is an abundant number, since it is smaller than the sum of its proper divisors (32814327072).

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

20187361248 is a wasteful number, since it uses less digits than its factorization.

20187361248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39159 (or 39151 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 20187361248 in words is "twenty billion, one hundred eighty-seven million, three hundred sixty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 6427 12854 19281 25708 32719 38562 51416 65438 77124 98157 102832 130876 154248 196314 205664 261752 308496 392628 523504 616992 785256 1047008 1570512 3141024 210285013 420570026 630855039 841140052 1261710078 1682280104 2523420156 3364560208 5046840312 6729120416 10093680624 20187361248