Search a number
-
+
3975222462208 = 28172234096073
BaseRepresentation
bin111001110110001101101…
…110010000011100000000
3112002000202002101100220021
4321312031232100130000
51010112223422242313
612242105245223224
7560125501261444
oct71661556203400
915060662340807
103975222462208
1112a297849a808
12542511b61b14
1322ab286b257a
14da58a744824
156d610acc78d
hex39d8db90700

3975222462208 has 72 divisors (see below), whose sum is σ = 8439354258048. Its totient is φ = 1862303711232.

The previous prime is 3975222462203. The next prime is 3975222462251. The reversal of 3975222462208 is 8022642225793.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3975222462203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1077541 + ... + 3018532.

It is an arithmetic number, because the mean of its divisors is an integer number (117213253584).

Almost surely, 23975222462208 is an apocalyptic number.

It is an amenable number.

3975222462208 is an abundant number, since it is smaller than the sum of its proper divisors (4464131795840).

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

3975222462208 is a wasteful number, since it uses less digits than its factorization.

3975222462208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4096329 (or 4096315 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 52.

The spelling of 3975222462208 in words is "three trillion, nine hundred seventy-five billion, two hundred twenty-two million, four hundred sixty-two thousand, two hundred eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 223 256 272 446 544 892 1088 1784 2176 3568 3791 4352 7136 7582 14272 15164 28544 30328 57088 60656 121312 242624 485248 970496 4096073 8192146 16384292 32768584 65537168 69633241 131074336 139266482 262148672 278532964 524297344 557065928 913424279 1048594688 1114131856 1826848558 2228263712 3653697116 4456527424 7307394232 8913054848 14614788464 15528212743 17826109696 29229576928 31056425486 58459153856 62112850972 116918307712 124225701944 233836615424 248451403888 496902807776 993805615552 1987611231104 3975222462208