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18783429228 = 2234233138053
BaseRepresentation
bin10001011111100101…
…000110001001101100
31210111001100001220000
4101133211012021230
5301432024213403
612343510024300
71233320341224
oct213745061154
953431301800
1018783429228
117a69835433
123782648090
131a04630b85
14ca28c1084
1574e05a7a3
hex45f94626c

18783429228 has 120 divisors (see below), whose sum is σ = 51408617568. Its totient is φ = 5969044224.

The previous prime is 18783429193. The next prime is 18783429271. The reversal of 18783429228 is 82292438781.

18783429228 is a `hidden beast` number, since 1 + 8 + 78 + 342 + 9 + 228 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 2328450 + ... + 2336502.

Almost surely, 218783429228 is an apocalyptic number.

18783429228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18783429228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25704308784).

18783429228 is an abundant number, since it is smaller than the sum of its proper divisors (32625188340).

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

18783429228 is a wasteful number, since it uses less digits than its factorization.

18783429228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8405 (or 8394 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 18783429228 in words is "eighteen billion, seven hundred eighty-three million, four hundred twenty-nine thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 313 324 414 621 626 828 939 1242 1252 1863 1878 2484 2817 3726 3756 5634 7199 7452 8053 8451 11268 14398 16106 16902 21597 24159 25353 28796 32212 33804 43194 48318 50706 64791 72477 86388 96636 101412 129582 144954 185219 194373 217431 259164 289908 370438 388746 434862 555657 583119 652293 740876 777492 869724 1111314 1166238 1304586 1666971 2222628 2332476 2520589 2609172 3333942 5000913 5041178 6667884 7561767 10001826 10082356 15002739 15123534 20003652 22685301 30005478 30247068 45370602 57973547 60010956 68055903 90741204 115947094 136111806 173920641 204167709 231894188 272223612 347841282 408335418 521761923 695682564 816670836 1043523846 1565285769 2087047692 3130571538 4695857307 6261143076 9391714614 18783429228