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4101053364 = 22322331159773
BaseRepresentation
bin1111010001110001…
…0001101110110100
3101120210212002121100
43310130101232310
531344332201424
61514535450100
7203425243542
oct36434215664
911523762540
104101053364
111814a35101
12965526930
135048437c5
142ac93ad92
15190086dc9
hexf4711bb4

4101053364 has 72 divisors (see below), whose sum is σ = 11166285312. Its totient is φ = 1265394240.

The previous prime is 4101053287. The next prime is 4101053377. The reversal of 4101053364 is 4633501014.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 54219 + ... + 105554.

It is an arithmetic number, because the mean of its divisors is an integer number (155087296).

Almost surely, 24101053364 is an apocalyptic number.

It is an amenable number.

4101053364 is an abundant number, since it is smaller than the sum of its proper divisors (7065231948).

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

4101053364 is a wasteful number, since it uses less digits than its factorization.

4101053364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159837 (or 159832 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4101053364 is about 64039.4672370094. The cubic root of 4101053364 is about 1600.6577196951.

Adding to 4101053364 its reverse (4633501014), we get a palindrome (8734554378).

The spelling of 4101053364 in words is "four billion, one hundred one million, fifty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 23 31 36 46 62 69 92 93 124 138 186 207 276 279 372 414 558 713 828 1116 1426 2139 2852 4278 6417 8556 12834 25668 159773 319546 479319 639092 958638 1437957 1917276 2875914 3674779 4952963 5751828 7349558 9905926 11024337 14699116 14858889 19811852 22048674 29717778 33073011 44097348 44576667 59435556 66146022 89153334 113918149 132292044 178306668 227836298 341754447 455672596 683508894 1025263341 1367017788 2050526682 4101053364