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17980996096 = 2972898053
BaseRepresentation
bin10000101111110000…
…000011101000000000
31201102010102020120101
4100233300003220000
5243311113333341
612132123052144
71204404642100
oct205760035000
951363366511
1017980996096
117697892558
123599971054
13190730867b
14c280c1200
157038a2831
hex42fc03a00

17980996096 has 120 divisors (see below), whose sum is σ = 42267311460. Its totient is φ = 7618609152.

The previous prime is 17980996093. The next prime is 17980996133. The reversal of 17980996096 is 69069908971.

It can be written as a sum of positive squares in 2 ways, for example, as 17973156096 + 7840000 = 134064^2 + 2800^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (17980996091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2228806 + ... + 2236858.

Almost surely, 217980996096 is an apocalyptic number.

17980996096 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 17980996096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21133655730).

17980996096 is an abundant number, since it is smaller than the sum of its proper divisors (24286315364).

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

17980996096 is an frugal number, since it uses more digits than its factorization.

17980996096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8174 (or 8151 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 64.

The spelling of 17980996096 in words is "seventeen billion, nine hundred eighty million, nine hundred ninety-six thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 89 98 112 128 178 196 224 256 356 392 448 512 623 712 784 896 1246 1424 1568 1792 2492 2848 3136 3584 4361 4984 5696 6272 8053 8722 9968 11392 12544 16106 17444 19936 22784 25088 32212 34888 39872 45568 56371 64424 69776 79744 112742 128848 139552 159488 225484 257696 279104 318976 394597 450968 515392 558208 716717 789194 901936 1030784 1116416 1433434 1578388 1803872 2061568 2232832 2866868 3156776 3607744 4123136 5017019 5733736 6313552 7215488 10034038 11467472 12627104 14430976 20068076 22934944 25254208 28861952 35119133 40136152 45869888 50508416 70238266 80272304 91739776 101016832 140476532 160544608 183479552 202033664 280953064 321089216 366959104 561906128 642178432 1123812256 1284356864 2247624512 2568713728 4495249024 8990498048 17980996096