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105472744476 = 223113121635101
BaseRepresentation
bin110001000111010101…
…0100101110000011100
3101002020120120120022120
41202032222211300130
53212002010310401
6120241542542540
710422466351521
oct1421652456034
9332216516276
10105472744476
1140804684020
1218536737a50
139c3b59c698
145167c21148
152b24923836
hex188eaa5c1c

105472744476 has 144 divisors (see below), whose sum is σ = 279172623744. Its totient is φ = 30734640000.

The previous prime is 105472744471. The next prime is 105472744493. The reversal of 105472744476 is 674447274501.

It is a super-2 number, since 2×1054727444762 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105472744471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20674326 + ... + 20679426.

It is an arithmetic number, because the mean of its divisors is an integer number (1938698776).

Almost surely, 2105472744476 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 105472744476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139586311872).

105472744476 is an abundant number, since it is smaller than the sum of its proper divisors (173699879268).

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

105472744476 is a wasteful number, since it uses less digits than its factorization.

105472744476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5344 (or 5311 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 51.

It can be divided in two parts, 105472 and 744476, that added together give a palindrome (849948).

The spelling of 105472744476 in words is "one hundred five billion, four hundred seventy-two million, seven hundred forty-four thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 163 186 326 341 372 489 652 682 961 978 1023 1364 1793 1922 1956 2046 2883 3586 3844 4092 5053 5101 5379 5766 7172 10106 10202 10571 10758 11532 15159 15303 20212 20404 21142 21516 30318 30606 31713 42284 55583 56111 60636 61212 63426 111166 112222 126852 156643 158131 166749 168333 222332 224444 313286 316262 333498 336666 469929 474393 626572 632524 666996 673332 831463 939858 948786 1662926 1723073 1739441 1879716 1897572 2494389 3325852 3446146 3478882 4902061 4988778 5169219 5218323 6892292 6957764 9146093 9804122 9977556 10338438 10436646 14706183 18292186 19608244 20676876 20873292 25775353 27438279 29412366 36584372 51550706 53922671 54876558 58824732 77326059 103101412 107845342 109753116 154652118 161768013 215690684 283528883 309304236 323536026 567057766 647072052 799035943 850586649 1134115532 1598071886 1701173298 2397107829 3196143772 3402346596 4794215658 8789395373 9588431316 17578790746 26368186119 35157581492 52736372238 105472744476