Search a number
-
+
54446988964445 = 5711677929399091
BaseRepresentation
bin11000110000100111011010…
…11011111011001001011101
321010210002012021110001102022
430120103231123323021131
524114024413133330240
6311444333524105525
714316444100063550
oct1430235533731135
9233702167401368
1054446988964445
1116391924927570
1261342365352a5
13244c437b501cc
14d633695a0697
156464578849b5
hex3184ed6fb25d

54446988964445 has 128 divisors (see below), whose sum is σ = 83758355251200. Its totient is φ = 32996316038400.

The previous prime is 54446988964421. The next prime is 54446988964483.

54446988964445 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54446988964445 - 236 = 54378269487709 is a prime.

It is a super-2 number, since 2×544469889644452 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54446988964445.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5989104350 + ... + 5989113440.

It is an arithmetic number, because the mean of its divisors is an integer number (654362150400).

Almost surely, 254446988964445 is an apocalyptic number.

54446988964445 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54446988964445 is a deficient number, since it is larger than the sum of its proper divisors (29311366286755).

54446988964445 is a wasteful number, since it uses less digits than its factorization.

54446988964445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12199.

The product of its digits is 19110297600, while the sum is 80.

The spelling of 54446988964445 in words is "fifty-four trillion, four hundred forty-six billion, nine hundred eighty-eight million, nine hundred sixty-four thousand, four hundred forty-five".

Divisors: 1 5 7 11 35 55 67 77 79 335 385 395 469 553 737 869 2345 2765 2939 3685 4345 5159 5293 6083 9091 14695 20573 25795 26465 30415 32329 37051 45455 58223 63637 100001 102865 161645 185255 196913 226303 232181 291115 318185 407561 500005 609097 700007 718189 984565 1131515 1160905 1378391 1625267 2037805 2166043 2553991 3045485 3500035 3590945 4263679 5027323 6700067 6891955 7900079 8126335 10830215 12769955 15162301 15556127 17877937 21318395 25136615 26718449 33500335 39500395 46900469 48118663 55300553 75811505 77780635 89389685 108892889 133592245 171117397 187029143 234502345 240593315 276502765 293902939 336830641 529305293 544464445 855586985 935145715 1197821779 1469514695 1684153205 1790136083 2057320573 2110757471 2646526465 3705137051 5989108895 8950680415 10286602865 10553787355 12530952581 14775302297 18525685255 19691496913 23218332181 62654762905 73876511485 98457484565 116091660905 137840478391 141420750557 162528325267 689202391955 707103752785 812641626335 989945253899 1555628256127 4949726269495 7778141280635 10889397792889 54446988964445