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4137673073245 = 541389351714753
BaseRepresentation
bin111100001101100000100…
…010001010001001011101
3112122120001112212110020221
4330031200202022021131
51020242423301320440
612444453141441341
7604636252552315
oct74154042121135
915576045773227
104137673073245
111355860643248
12569aaa410251
1324024757839a
1410439b8d0445
157296c78bd4a
hex3c36088a25d

4137673073245 has 32 divisors (see below), whose sum is σ = 5101181336160. Its totient is φ = 3219967426560.

The previous prime is 4137673073201. The next prime is 4137673073249. The reversal of 4137673073245 is 5423703767314.

It can be written as a sum of positive squares in 16 ways, for example, as 1311421199929 + 2826251873316 = 1145173^2 + 1681146^2 .

It is not a de Polignac number, because 4137673073245 - 27 = 4137673073117 is a prime.

It is a super-2 number, since 2×41376730732452 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4137673073192 and 4137673073201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4137673073249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280455789 + ... + 280470541.

It is an arithmetic number, because the mean of its divisors is an integer number (159411916755).

Almost surely, 24137673073245 is an apocalyptic number.

It is an amenable number.

4137673073245 is a deficient number, since it is larger than the sum of its proper divisors (963508262915).

4137673073245 is a wasteful number, since it uses less digits than its factorization.

4137673073245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18705.

The product of its (nonzero) digits is 8890560, while the sum is 52.

The spelling of 4137673073245 in words is "four trillion, one hundred thirty-seven billion, six hundred seventy-three million, seventy-three thousand, two hundred forty-five".

Divisors: 1 5 41 205 389 1945 3517 14753 15949 17585 73765 79745 144197 604873 720985 1368113 3024365 5738917 6840565 28694585 51886301 56092633 235295597 259431505 280463165 1176477985 2127338341 10636691705 20183771089 100918855445 827534614649 4137673073245