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8098623104 = 2711132319237
BaseRepresentation
bin1111000101011011…
…10010111010000000
3202220101222200100212
413202231302322000
5113041221414404
63415341333252
7404456106035
oct74255627200
922811880325
108098623104
113486509450
1216a0267228
139c0ac3ca0
1456b81b38c
15325ecc06e
hex1e2b72e80

8098623104 has 128 divisors (see below), whose sum is σ = 19779742080. Its totient is φ = 3250114560.

The previous prime is 8098623101. The next prime is 8098623107. The reversal of 8098623104 is 4013268908.

It is an interprime number because it is at equal distance from previous prime (8098623101) and next prime (8098623107).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (8098623101) 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, 411374 + ... + 430610.

It is an arithmetic number, because the mean of its divisors is an integer number (154529235).

Almost surely, 28098623104 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 8098623104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9889871040).

8098623104 is an abundant number, since it is smaller than the sum of its proper divisors (11681118976).

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

8098623104 is a wasteful number, since it uses less digits than its factorization.

8098623104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19298 (or 19286 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 8098623104 is about 89992.3502526743. The cubic root of 8098623104 is about 2008.1850487917.

The spelling of 8098623104 in words is "eight billion, ninety-eight million, six hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 11 13 16 22 23 26 32 44 46 52 64 88 92 104 128 143 176 184 208 253 286 299 352 368 416 506 572 598 704 736 832 1012 1144 1196 1408 1472 1664 2024 2288 2392 2944 3289 4048 4576 4784 6578 8096 9152 9568 13156 16192 18304 19136 19237 26312 32384 38272 38474 52624 76948 105248 153896 210496 211607 250081 307792 420992 423214 442451 500162 615584 846428 884902 1000324 1231168 1692856 1769804 2000648 2462336 2750891 3385712 3539608 4001296 4866961 5501782 5751863 6771424 7079216 8002592 9733922 11003564 11503726 13542848 14158432 16005184 19467844 22007128 23007452 27085696 28316864 32010368 38935688 44014256 46014904 56633728 63270493 77871376 88028512 92029808 126540986 155742752 176057024 184059616 253081972 311485504 352114048 368119232 506163944 622971008 736238464 1012327888 2024655776 4049311552 8098623104