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18741252312 = 2333587147811
BaseRepresentation
bin10001011101000100…
…001101000011011000
31210101002222021001000
4101131010031003120
5301340230033222
612335402025000
71232266005366
oct213504150330
953332867030
1018741252312
117a47a48282
1237704a8160
1319c8984513
14c9b062636
1574a4c89ac
hex45d10d0d8

18741252312 has 64 divisors (see below), whose sum is σ = 52148073600. Its totient is φ = 6236399520.

The previous prime is 18741252307. The next prime is 18741252317. The reversal of 18741252312 is 21325214781.

18741252312 is a `hidden beast` number, since 1 + 8 + 7 + 412 + 5 + 231 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (18741252307) and next prime (18741252317).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18741252317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52887 + ... + 200697.

It is an arithmetic number, because the mean of its divisors is an integer number (814813650).

Almost surely, 218741252312 is an apocalyptic number.

18741252312 is a gapful number since it is divisible by the number (12) 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 18741252312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26074036800).

18741252312 is an abundant number, since it is smaller than the sum of its proper divisors (33406821288).

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

18741252312 is a wasteful number, since it uses less digits than its factorization.

18741252312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148413 (or 148403 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The spelling of 18741252312 in words is "eighteen billion, seven hundred forty-one million, two hundred fifty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 587 1174 1761 2348 3522 4696 5283 7044 10566 14088 15849 21132 31698 42264 63396 126792 147811 295622 443433 591244 886866 1182488 1330299 1773732 2660598 3547464 3990897 5321196 7981794 10642392 15963588 31927176 86765057 173530114 260295171 347060228 520590342 694120456 780885513 1041180684 1561771026 2082361368 2342656539 3123542052 4685313078 6247084104 9370626156 18741252312