Search a number
-
+
54444520411452 = 223219717033450707
BaseRepresentation
bin11000110000100010110100…
…10011001001000100111100
321010202211211020102120022200
430120101122103021010330
524114004334211131302
6311443244542311500
714316325653531213
oct1430213223110474
9233684736376280
1054444520411452
1116390878452126
126133867888590
13244c1335b1572
14d631b37b807a
15646360cbb81c
hex31845a4c913c

54444520411452 has 72 divisors (see below), whose sum is σ = 138330673777296. Its totient is φ = 18054950640384.

The previous prime is 54444520411423. The next prime is 54444520411481. The reversal of 54444520411452 is 25411402544445.

54444520411452 is a `hidden beast` number, since 5 + 4 + 4 + 4 + 4 + 520 + 4 + 114 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (54444520411423) and next prime (54444520411481).

It is a junction number, because it is equal to n+sod(n) for n = 54444520411398 and 54444520411407.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 120572683 + ... + 121023389.

It is an arithmetic number, because the mean of its divisors is an integer number (1921259358018).

Almost surely, 254444520411452 is an apocalyptic number.

It is an amenable number.

54444520411452 is an abundant number, since it is smaller than the sum of its proper divisors (83886153365844).

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

54444520411452 is a wasteful number, since it uses less digits than its factorization.

54444520411452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467947 (or 467942 counting only the distinct ones).

The product of its (nonzero) digits is 2048000, while the sum is 45.

Adding to 54444520411452 its reverse (25411402544445), we get a palindrome (79855922955897).

The spelling of 54444520411452 in words is "fifty-four trillion, four hundred forty-four billion, five hundred twenty million, four hundred eleven thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 197 394 591 788 1182 1773 2364 3546 7092 17033 34066 51099 68132 102198 153297 204396 306594 450707 613188 901414 1352121 1802828 2704242 3355501 4056363 5408484 6711002 8112726 10066503 13422004 16225452 20133006 30199509 40266012 60399018 88789279 120798036 177578558 266367837 355157116 532735674 799103511 1065471348 1598207022 3196414044 7676892331 15353784662 23030676993 30707569324 46061353986 69092030979 92122707972 138184061958 276368123916 1512347789207 3024695578414 4537043367621 6049391156828 9074086735242 13611130102863 18148173470484 27222260205726 54444520411452