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107719911936 = 2934713172373
BaseRepresentation
bin110010001010010011…
…0110110101000000000
3101022001012000111120000
41210110212312220000
53231102244140221
6121252535320000
710532254100250
oct1442446665000
9338035014500
10107719911936
114175809a20a
1218a63220000
13a209007080
1452dc459960
152c06d5ae26
hex19149b6a00

107719911936 has 1600 divisors, whose sum is σ = 443194633728. Its totient is φ = 25225592832.

The previous prime is 107719911911. The next prime is 107719911947. The reversal of 107719911936 is 639119917701.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1475615196 + ... + 1475615268.

Almost surely, 2107719911936 is an apocalyptic number.

107719911936 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 107719911936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221597316864).

107719911936 is an abundant number, since it is smaller than the sum of its proper divisors (335474721792).

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

107719911936 is a wasteful number, since it uses less digits than its factorization.

107719911936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 642978, while the sum is 54.

The spelling of 107719911936 in words is "one hundred seven billion, seven hundred nineteen million, nine hundred eleven thousand, nine hundred thirty-six".