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18723969024 = 21135235827
BaseRepresentation
bin10001011100000010…
…010001100000000000
31210022220110011211020
4101130002101200000
5301321314002044
612333543345440
71231666052655
oct213402214000
953286404736
1018723969024
117a39213072
123766752280
1319c5212817
14c98a43c2c
15748c12a19
hex45c091800

18723969024 has 96 divisors (see below), whose sum is σ = 50022423360. Its totient is φ = 6228320256.

The previous prime is 18723969023. The next prime is 18723969037. The reversal of 18723969024 is 42096932781.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18723969023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3210399 + ... + 3216225.

It is an arithmetic number, because the mean of its divisors is an integer number (521066910).

Almost surely, 218723969024 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 18723969024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25011211680).

18723969024 is an abundant number, since it is smaller than the sum of its proper divisors (31298454336).

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

18723969024 is an equidigital number, since it uses as much as digits as its factorization.

18723969024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6375 (or 6355 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 18723969024 in words is "eighteen billion, seven hundred twenty-three million, nine hundred sixty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 523 768 1024 1046 1536 1569 2048 2092 3072 3138 4184 5827 6144 6276 8368 11654 12552 16736 17481 23308 25104 33472 34962 46616 50208 66944 69924 93232 100416 133888 139848 186464 200832 267776 279696 372928 401664 535552 559392 745856 803328 1071104 1118784 1491712 1606656 2237568 2983424 3047521 3213312 4475136 5966848 6095042 8950272 9142563 11933696 12190084 17900544 18285126 24380168 35801088 36570252 48760336 73140504 97520672 146281008 195041344 292562016 390082688 585124032 780165376 1170248064 1560330752 2340496128 3120661504 4680992256 6241323008 9361984512 18723969024