Search a number
-
+
55858016880 = 2433525860193
BaseRepresentation
bin110100000001011001…
…011011001001110000
312100011211201021002000
4310001121123021300
51403344123020010
641354423054000
74015133211111
oct640131331160
9170154637060
1055858016880
1121764437916
12a9aa8a1300
1353625b58c3
1429bc740208
1516bdcd37c0
hexd0165b270

55858016880 has 80 divisors (see below), whose sum is σ = 192399843360. Its totient is φ = 14895470592.

The previous prime is 55858016869. The next prime is 55858016899. The reversal of 55858016880 is 8861085855.

It is a happy number.

55858016880 is a `hidden beast` number, since 5 + 58 + 580 + 1 + 6 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12927937 + ... + 12932256.

It is an arithmetic number, because the mean of its divisors is an integer number (2404998042).

Almost surely, 255858016880 is an apocalyptic number.

It is an amenable number.

55858016880 is an abundant number, since it is smaller than the sum of its proper divisors (136541826480).

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

55858016880 is a wasteful number, since it uses less digits than its factorization.

55858016880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25860215 (or 25860203 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 54.

The spelling of 55858016880 in words is "fifty-five billion, eight hundred fifty-eight million, sixteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 25860193 51720386 77580579 103440772 129300965 155161158 206881544 232741737 258601930 310322316 387902895 413763088 465483474 517203860 620644632 698225211 775805790 930966948 1034407720 1163708685 1241289264 1396450422 1551611580 1861933896 2068815440 2327417370 2792900844 3103223160 3491126055 3723867792 4654834740 5585801688 6206446320 6982252110 9309669480 11171603376 13964504220 18619338960 27929008440 55858016880