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18083832816 = 2437331162601
BaseRepresentation
bin10000110101111000…
…010110001111110000
31201200021220220000210
4100311320112033300
5244013430122231
612150235144120
71210064020440
oct206570261760
951607826023
1018083832816
11773a941285
1236082a5040
1319227033ba
14c37a10120
1570c917a46
hex435e163f0

18083832816 has 80 divisors (see below), whose sum is σ = 53551993088. Its totient is φ = 5151168000.

The previous prime is 18083832803. The next prime is 18083832827. The reversal of 18083832816 is 61823838081.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 29916 + ... + 192516.

Almost surely, 218083832816 is an apocalyptic number.

18083832816 is a gapful number since it is divisible by the number (16) 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 18083832816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26775996544).

18083832816 is an abundant number, since it is smaller than the sum of its proper divisors (35468160272).

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

18083832816 is a wasteful number, since it uses less digits than its factorization.

18083832816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162950 (or 162944 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 18083832816 in words is "eighteen billion, eighty-three million, eight hundred thirty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 331 336 662 993 1324 1986 2317 2648 3972 4634 5296 6951 7944 9268 13902 15888 18536 27804 37072 55608 111216 162601 325202 487803 650404 975606 1138207 1300808 1951212 2276414 2601616 3414621 3902424 4552828 6829242 7804848 9105656 13658484 18211312 27316968 53820931 54633936 107641862 161462793 215283724 322925586 376746517 430567448 645851172 753493034 861134896 1130239551 1291702344 1506986068 2260479102 2583404688 3013972136 4520958204 6027944272 9041916408 18083832816