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8117113408 = 26312271487
BaseRepresentation
bin1111000111101000…
…10101001001000000
3202221200210002021221
413203310111021000
5113110440112113
63421241524424
7405102216445
oct74364251100
922850702257
108117113408
113495998498
1216a64a3714
139c48991b1
145700719cc
1532793098d
hex1e3d15240

8117113408 has 84 divisors (see below), whose sum is σ = 16739469696. Its totient is φ = 3905107200.

The previous prime is 8117113393. The next prime is 8117113421. The reversal of 8117113408 is 8043117118.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16667341 + ... + 16667827.

Almost surely, 28117113408 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 8117113408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8369734848).

8117113408 is an abundant number, since it is smaller than the sum of its proper divisors (8622356288).

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

8117113408 is a wasteful number, since it uses less digits than its factorization.

8117113408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 34.

The square root of 8117113408 is about 90095.0243243210. The cubic root of 8117113408 is about 2009.7122108036.

The spelling of 8117113408 in words is "eight billion, one hundred seventeen million, one hundred thirteen thousand, four hundred eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 271 487 496 542 961 974 992 1084 1922 1948 1984 2168 3844 3896 4336 7688 7792 8401 8672 15097 15376 15584 16802 17344 30194 30752 31168 33604 60388 61504 67208 120776 131977 134416 241552 260431 263954 268832 468007 483104 520862 527908 537664 936014 966208 1041724 1055816 1872028 2083448 2111632 3744056 4091287 4166896 4223264 7488112 8182574 8333792 8446528 14976224 16365148 16667584 29952448 32730296 65460592 126829897 130921184 253659794 261842368 507319588 1014639176 2029278352 4058556704 8117113408