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541223021504413 = 17293721137096553
BaseRepresentation
bin111101100001111010100110…
…1111100001110011110011101
32121222022102012221020100211001
41323003311031330032132131
51031414344222001120123
65155030231301230301
7222000034004340223
oct17303651574163635
92558272187210731
10541223021504413
111474a5437a90a36
1250850792a02391
131a2cc15bbc43c1
149791496748b13
1542886bd4620ad
hex1ec3d4df0e79d

541223021504413 has 48 divisors (see below), whose sum is σ = 614667456985680. Its totient is φ = 474294022078464.

The previous prime is 541223021504401. The next prime is 541223021504419. The reversal of 541223021504413 is 314405120322145.

It can be written as a sum of positive squares in 24 ways, for example, as 262721728768249 + 278501292736164 = 16208693^2 + 16688358^2 .

It is a de Polignac number, because none of the positive numbers 2k-541223021504413 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541223021504419) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72717345 + ... + 79813897.

It is an arithmetic number, because the mean of its divisors is an integer number (12805572020535).

Almost surely, 2541223021504413 is an apocalyptic number.

It is an amenable number.

541223021504413 is a deficient number, since it is larger than the sum of its proper divisors (73444435481267).

541223021504413 is a wasteful number, since it uses less digits than its factorization.

541223021504413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7096786 (or 7096749 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

Adding to 541223021504413 its reverse (314405120322145), we get a palindrome (855628141826558).

The spelling of 541223021504413 in words is "five hundred forty-one trillion, two hundred twenty-three billion, twenty-one million, five hundred four thousand, four hundred thirteen".

Divisors: 1 17 29 37 113 493 629 1073 1369 1921 3277 4181 18241 23273 39701 55709 71077 121249 154697 674917 2061233 2629849 4486213 7096553 76265621 120641401 205800037 262572461 801910489 3498600629 4463731837 7614601369 9715181057 13632478313 23255404181 29670688093 129448223273 165158077969 281740250653 395341871077 504401697581 860449954697 1097815459441 4789584261101 14627649229849 18662862810497 31836648323789 541223021504413