Search a number
-
+
55443141400152 = 233112333923269167
BaseRepresentation
bin11001001101100110111001…
…01111111001011001011000
321021022022102211222221221010
430212303130233321121120
524231340023144301102
6313530121052013520
714451430505062152
oct1446633457713130
9237268384887833
1055443141400152
1116736338a14460
126275303a612a0
1324c235bc69a8c
14d99668a13ad2
1566230b436d6c
hex326cdcbf9658

55443141400152 has 128 divisors (see below), whose sum is σ = 157788090408960. Its totient is φ = 16069942331520.

The previous prime is 55443141400151. The next prime is 55443141400159. The reversal of 55443141400152 is 25100414134455.

55443141400152 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 55443141400152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55443141400151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205845873 + ... + 206115039.

It is an arithmetic number, because the mean of its divisors is an integer number (1232719456320).

Almost surely, 255443141400152 is an apocalyptic number.

It is an amenable number.

55443141400152 is an abundant number, since it is smaller than the sum of its proper divisors (102344949008808).

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

55443141400152 is a wasteful number, since it uses less digits than its factorization.

55443141400152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303133 (or 303129 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The spelling of 55443141400152 in words is "fifty-five trillion, four hundred forty-three billion, one hundred forty-one million, four hundred thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 2024 3036 6072 33923 67846 101769 135692 203538 269167 271384 373153 407076 538334 746306 780229 807501 814152 1076668 1119459 1492612 1560458 1615002 2153336 2238918 2340687 2960837 2985224 3120916 3230004 4477836 4681374 5921674 6190841 6241832 6460008 8582519 8882511 8955672 9362748 11843348 12381682 17165038 17765022 18572523 18725496 23686696 24763364 25747557 34330076 35530044 37145046 49526728 51495114 68099251 68660152 71060088 74290092 102990228 136198502 148580184 204297753 205980456 272397004 408595506 544794008 817191012 1634382024 9130952141 18261904282 27392856423 36523808564 54785712846 73047617128 100440473551 109571425692 200880947102 210011899243 219142851384 301321420653 401761894204 420023798486 602642841306 630035697729 803523788408 840047596972 1205285682612 1260071395458 1680095193944 2310130891673 2410571365224 2520142790916 4620261783346 5040285581832 6930392675019 9240523566692 13860785350038 18481047133384 27721570700076 55443141400152