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5526676098 = 23217413731181
BaseRepresentation
bin1010010010110101…
…00110001010000010
3112021011102020100100
411021122212022002
542304312113343
62312223503230
7253645654206
oct51132461202
915234366310
105526676098
112386734609
1210a2a57b16
136a0cc3a58
143a5ddcb06
152252dd9d3
hex1496a6282

5526676098 has 96 divisors (see below), whose sum is σ = 13033932912. Its totient is φ = 1685606400.

The previous prime is 5526676087. The next prime is 5526676109. The reversal of 5526676098 is 8906766255.

It is a happy number.

5526676098 is a `hidden beast` number, since 5 + 5 + 26 + 6 + 7 + 609 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5526676087) and next prime (5526676109).

It can be written as a sum of positive squares in 8 ways, for example, as 3496002129 + 2030673969 = 59127^2 + 45063^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4679068 + ... + 4680248.

Almost surely, 25526676098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5526676098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6516966456).

5526676098 is an abundant number, since it is smaller than the sum of its proper divisors (7507256814).

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

5526676098 is a wasteful number, since it uses less digits than its factorization.

5526676098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The square root of 5526676098 is about 74341.6175368817. The cubic root of 5526676098 is about 1768.0233818987.

The spelling of 5526676098 in words is "five billion, five hundred twenty-six million, six hundred seventy-six thousand, ninety-eight".

Divisors: 1 2 3 6 9 17 18 34 41 51 82 102 123 153 246 306 369 373 697 738 746 1119 1181 1394 2091 2238 2362 3357 3543 4182 6273 6341 6714 7086 10629 12546 12682 15293 19023 20077 21258 30586 38046 40154 45879 48421 57069 60231 91758 96842 114138 120462 137637 145263 180693 259981 275274 290526 361386 435789 440513 519962 779943 823157 871578 881026 1321539 1559886 1646314 2339829 2469471 2643078 3964617 4679658 4938942 7408413 7488721 7929234 14816826 14977442 18061033 22466163 36122066 44932326 54183099 67398489 108366198 134796978 162549297 307037561 325098594 614075122 921112683 1842225366 2763338049 5526676098