Search a number
-
+
480853626132341 = 7119764379920489
BaseRepresentation
bin110110101010101010111010…
…1100100110001011101110101
32100001120011020222021122211002
41231111111311210301131311
51001011301211242213331
64422405034542053045
7203166346055342120
oct15525256544613565
92301504228248732
10480853626132341
1112a23a97213a470
1245b207a257a185
13178403c1428b97
1486a56226c73b7
153a8d18dc239cb
hex1b55575931775

480853626132341 has 16 divisors (see below), whose sum is σ = 605686291969920. Its totient is φ = 370828342010880.

The previous prime is 480853626132317. The next prime is 480853626132343. The reversal of 480853626132341 is 143231626358084.

It is a cyclic number.

It is not a de Polignac number, because 480853626132341 - 226 = 480853559023477 is a prime.

It is a super-3 number, since 3×4808536261323413 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480853626132343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32189952776 + ... + 32189967713.

It is an arithmetic number, because the mean of its divisors is an integer number (37855393248120).

Almost surely, 2480853626132341 is an apocalyptic number.

It is an amenable number.

480853626132341 is a deficient number, since it is larger than the sum of its proper divisors (124832665837579).

480853626132341 is a wasteful number, since it uses less digits than its factorization.

480853626132341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64379920604.

The product of its (nonzero) digits is 19906560, while the sum is 56.

The spelling of 480853626132341 in words is "four hundred eighty trillion, eight hundred fifty-three billion, six hundred twenty-six million, one hundred thirty-two thousand, three hundred forty-one".

Divisors: 1 7 11 77 97 679 1067 7469 64379920489 450659443423 708179125379 4957253877653 6244852287433 43713966012031 68693375161763 480853626132341