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107719905024 = 283391117107
BaseRepresentation
bin110010001010010011…
…0110100111100000000
3101022001012000011002000
41210110212310330000
53231102243430044
6121252535224000
710532254041144
oct1442446647400
9338035004060
10107719905024
1141758094aa6
1218a63218000
13a209003b94
1452dc457224
152c06d58d69
hex19149b4f00

107719905024 has 144 divisors (see below), whose sum is σ = 318915018240. Its totient is φ = 35865123840.

The previous prime is 107719904993. The next prime is 107719905061. The reversal of 107719905024 is 420509917701.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6288279 + ... + 6305385.

Almost surely, 2107719905024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107719905024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159457509120).

107719905024 is an abundant number, since it is smaller than the sum of its proper divisors (211195113216).

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

107719905024 is an equidigital number, since it uses as much as digits as its factorization.

107719905024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18043 (or 18023 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 107719905024 in words is "one hundred seven billion, seven hundred nineteen million, nine hundred five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 911 1152 1728 1822 2304 2733 3456 3644 5466 6912 7288 8199 10932 14576 16398 17107 21864 24597 29152 32796 34214 43728 49194 51321 58304 65592 68428 87456 98388 102642 116608 131184 136856 153963 174912 196776 205284 233216 262368 273712 307926 349824 393552 410568 461889 524736 547424 615852 699648 787104 821136 923778 1049472 1094848 1231704 1574208 1642272 1847556 2098944 2189696 2463408 3148416 3284544 3695112 4379392 4926816 6296832 6569088 7390224 9853632 13138176 14780448 15584477 19707264 29560896 31168954 39414528 46753431 59121792 62337908 93506862 118243584 124675816 140260293 187013724 249351632 280520586 374027448 420780879 498703264 561041172 748054896 841561758 997406528 1122082344 1496109792 1683123516 1994813056 2244164688 2992219584 3366247032 3989626112 4488329376 5984439168 6732494064 8976658752 11968878336 13464988128 17953317504 26929976256 35906635008 53859952512 107719905024