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107618321940 = 223510117758799
BaseRepresentation
bin110010000111010001…
…1010100011000010100
3101021210002212012021120
41210032203110120110
53230400242300230
6121234510043540
710526611433433
oct1441643243024
9337702765246
10107618321940
1141705812138
1218a351a95b0
13a1c0c5794c
1452ccb7311a
152bece90310
hex190e8d4614

107618321940 has 48 divisors (see below), whose sum is σ = 304314796800. Its totient is φ = 28414076800.

The previous prime is 107618321927. The next prime is 107618321947. The reversal of 107618321940 is 49123816701.

It is a happy number.

107618321940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 107618321892 and 107618321901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107618321947) 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, 8873340 + ... + 8885459.

It is an arithmetic number, because the mean of its divisors is an integer number (6339891600).

Almost surely, 2107618321940 is an apocalyptic number.

107618321940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107618321940 is an abundant number, since it is smaller than the sum of its proper divisors (196696474860).

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

107618321940 is a wasteful number, since it uses less digits than its factorization.

107618321940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17758912 (or 17758910 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 107618321940 in words is "one hundred seven billion, six hundred eighteen million, three hundred twenty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 6060 17758799 35517598 53276397 71035196 88793995 106552794 177587990 213105588 266381985 355175980 532763970 1065527940 1793638699 3587277398 5380916097 7174554796 8968193495 10761832194 17936386990 21523664388 26904580485 35872773980 53809160970 107618321940