Search a number
-
+
56344109184 = 2732114446347
BaseRepresentation
bin110100011110010111…
…101110000010000000
312101102201101022100200
4310132113232002000
51410343042443214
641514545445200
74033155011616
oct643627560200
9171381338320
1056344109184
11219938651a0
12ab05640800
13540c20b59c
142a271156b6
1516eb800d09
hexd1e5ee080

56344109184 has 96 divisors (see below), whose sum is σ = 176875723440. Its totient is φ = 17073968640.

The previous prime is 56344109153. The next prime is 56344109209. The reversal of 56344109184 is 48190144365.

56344109184 is a `hidden beast` number, since 5 + 634 + 4 + 1 + 0 + 9 + 1 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2210502 + ... + 2235845.

Almost surely, 256344109184 is an apocalyptic number.

It is an amenable number.

56344109184 is an abundant number, since it is smaller than the sum of its proper divisors (120531614256).

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

56344109184 is a wasteful number, since it uses less digits than its factorization.

56344109184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4446378 (or 4446363 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 56344109184 in words is "fifty-six billion, three hundred forty-four million, one hundred nine thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 6336 12672 4446347 8892694 13339041 17785388 26678082 35570776 40017123 48909817 53356164 71141552 80034246 97819634 106712328 142283104 146729451 160068492 195639268 213424656 284566208 293458902 320136984 391278536 426849312 440188353 569132416 586917804 640273968 782557072 853698624 880376706 1173835608 1280547936 1565114144 1707397248 1760753412 2347671216 2561095872 3130228288 3521506824 4695342432 5122191744 6260456576 7043013648 9390684864 14086027296 18781369728 28172054592 56344109184