Search a number
-
+
541878058248 = 23323997984617
BaseRepresentation
bin1111110001010100111…
…00101111110100001000
31220210200102011111022220
413320222130233310020
532334231240330443
61052534011214040
754102146332542
oct7705234576410
91823612144286
10541878058248
1119989a04549a
1289029a47320
133c1393209b7
141c326dc6692
15e167441a83
hex7e2a72fd08

541878058248 has 64 divisors (see below), whose sum is σ = 1415014220160. Its totient is φ = 172599246336.

The previous prime is 541878058231. The next prime is 541878058261. The reversal of 541878058248 is 842850878145.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 541878058191 and 541878058200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58036 + ... + 1042652.

It is an arithmetic number, because the mean of its divisors is an integer number (22109597190).

Almost surely, 2541878058248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541878058248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707507110080).

541878058248 is an abundant number, since it is smaller than the sum of its proper divisors (873136161912).

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

541878058248 is a wasteful number, since it uses less digits than its factorization.

541878058248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985646 (or 985642 counting only the distinct ones).

The product of its (nonzero) digits is 22937600, while the sum is 60.

The spelling of 541878058248 in words is "five hundred forty-one billion, eight hundred seventy-eight million, fifty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 997 1994 2991 3988 5982 7976 11964 22931 23928 45862 68793 91724 137586 183448 275172 550344 984617 1969234 2953851 3938468 5907702 7876936 11815404 22646191 23630808 45292382 67938573 90584764 135877146 181169528 271754292 543508584 981663149 1963326298 2944989447 3926652596 5889978894 7853305192 11779957788 22578252427 23559915576 45156504854 67734757281 90313009708 135469514562 180626019416 270939029124 541878058248