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109121947094358 = 232111722560174489
BaseRepresentation
bin11000110011111011101110…
…111001001100110101010110
3112022100221211010002121110100
4120303323232321030311112
5103300323221424004413
61024025532550434530
731661541401126052
oct3063735671146526
9468327733077410
10109121947094358
11318513a3371210
12102a4693362a46
1348b7203702523
141cd375d686c62
15c937a3d63a73
hex633eeee4cd56

109121947094358 has 144 divisors (see below), whose sum is σ = 274003490994480. Its totient is φ = 31120490496000.

The previous prime is 109121947094269. The next prime is 109121947094389. The reversal of 109121947094358 is 853490749121901.

109121947094358 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 2 + 194 + 7 + 0 + 9 + 435 + 8 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 109121947094295 and 109121947094304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1464903178 + ... + 1464977666.

It is an arithmetic number, because the mean of its divisors is an integer number (1902802020795).

Almost surely, 2109121947094358 is an apocalyptic number.

109121947094358 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 109121947094358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137001745497240).

109121947094358 is an abundant number, since it is smaller than the sum of its proper divisors (164881543900122).

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

109121947094358 is a wasteful number, since it uses less digits than its factorization.

109121947094358 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100143 (or 100123 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 109121947094358 in words is "one hundred nine trillion, one hundred twenty-one billion, nine hundred forty-seven million, ninety-four thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 289 306 374 561 578 867 1122 1683 1734 2601 3179 3366 5202 6358 9537 19074 25601 28611 51202 57222 74489 76803 148978 153606 223467 230409 281611 435217 446934 460818 563222 670401 819379 844833 870434 1266313 1305651 1340802 1638758 1689666 2458137 2532626 2534499 2611302 3798939 3916953 4787387 4916274 5068998 7374411 7398689 7597878 7833906 9574774 11396817 13929443 14362161 14748822 14797378 21527321 22196067 22793634 27858886 28724322 41788329 43054642 43086483 44392134 64581963 66588201 81385579 83576658 86172966 125364987 129163926 133176402 162771158 193745889 236800531 244156737 250729974 387491778 473601062 488313474 710401593 732470211 1420803186 1464940422 1906992889 2131204779 3813985778 4262409558 5720978667 11441957334 17162936001 20976921779 32418879113 34325872002 41953843558 62930765337 64837758226 97256637339 125861530674 188792296011 194513274678 291769912017 356607670243 377584592022 551120944921 583539824034 713215340486 1069823010729 1102241889842 1653362834763 2139646021458 3209469032187 3306725669526 4960088504289 6062330394131 6418938064374 9920177008578 12124660788262 18186991182393 36373982364786 54560973547179 109121947094358