Search a number
-
+
55168354368 = 263340978059
BaseRepresentation
bin110011011000010010…
…100100100001000000
312021101202222202222000
4303120102210201000
51400441044314433
641202145144000
73662060163201
oct633022444100
9167352882860
1055168354368
11214401091a6
12a83792b000
13528275588a
142954cd75a8
15167d4a4113
hexcd84a4840

55168354368 has 112 divisors (see below), whose sum is σ = 162583368000. Its totient is φ = 18344254464.

The previous prime is 55168354361. The next prime is 55168354453. The reversal of 55168354368 is 86345386155.

It is a happy number.

55168354368 is a `hidden beast` number, since 5 + 5 + 16 + 83 + 543 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (55168354361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 667723 + ... + 745781.

Almost surely, 255168354368 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 55168354368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81291684000).

55168354368 is an abundant number, since it is smaller than the sum of its proper divisors (107415013632).

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

55168354368 is a wasteful number, since it uses less digits than its factorization.

55168354368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78489 (or 78473 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 55168354368 in words is "fifty-five billion, one hundred sixty-eight million, three hundred fifty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 409 432 576 818 864 1227 1636 1728 2454 3272 3681 4908 6544 7362 9816 11043 13088 14724 19632 22086 26176 29448 39264 44172 58896 78059 78528 88344 117792 156118 176688 234177 235584 312236 353376 468354 624472 702531 706752 936708 1248944 1405062 1873416 2107593 2497888 2810124 3746832 4215186 4995776 5620248 7493664 8430372 11240496 14987328 16860744 22480992 31926131 33721488 44961984 63852262 67442976 95778393 127704524 134885952 191556786 255409048 287335179 383113572 510818096 574670358 766227144 862005537 1021636192 1149340716 1532454288 1724011074 2043272384 2298681432 3064908576 3448022148 4597362864 6129817152 6896044296 9194725728 13792088592 18389451456 27584177184 55168354368