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4155441020052 = 22371912312115077
BaseRepresentation
bin111100011110000011100…
…101011111110010010100
3112201020220211101200010220
4330132003211133302110
51021040320400120202
612500552214314340
7606135462610440
oct74360345376224
915636824350126
104155441020052
11136234913a703
125714289589b0
13241b196aac8a
141051a5593820
157315c5a8abc
hex3c78395fc94

4155441020052 has 96 divisors (see below), whose sum is σ = 11673876910080. Its totient is φ = 1123866783360.

The previous prime is 4155441019973. The next prime is 4155441020057. The reversal of 4155441020052 is 2500201445514.

It is a happy number.

It is a super-2 number, since 2×41554410200522 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4155441019995 and 4155441020022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4155441020057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 907138 + ... + 3022214.

It is an arithmetic number, because the mean of its divisors is an integer number (121602884480).

Almost surely, 24155441020052 is an apocalyptic number.

4155441020052 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4155441020052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5836938455040).

4155441020052 is an abundant number, since it is smaller than the sum of its proper divisors (7518435890028).

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

4155441020052 is a wasteful number, since it uses less digits than its factorization.

4155441020052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116341 (or 2116339 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

Adding to 4155441020052 its reverse (2500201445514), we get a palindrome (6655642465566).

The spelling of 4155441020052 in words is "four trillion, one hundred fifty-five billion, four hundred forty-one million, twenty thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1231 1596 2462 3693 4924 7386 8617 14772 17234 23389 25851 34468 46778 51702 70167 93556 103404 140334 163723 280668 327446 491169 654892 982338 1964676 2115077 4230154 6345231 8460308 12690462 14805539 25380924 29611078 40186463 44416617 59222156 80372926 88833234 120559389 160745852 177666468 241118778 281305241 482237556 562610482 843915723 1125220964 1687831446 2603659787 3375662892 5207319574 7810979361 10414639148 15621958722 18225618509 31243917444 36451237018 49469535953 54676855527 72902474036 98939071906 109353711054 148408607859 197878143812 218707422108 296817215718 346286751671 593634431436 692573503342 1038860255013 1385147006684 2077720510026 4155441020052