Search a number
-
+
55479137408 = 2710921912
BaseRepresentation
bin110011101010110100…
…000111010010000000
312022012102210012010222
4303222310013102000
51402110124344113
641253050242212
74002552613202
oct635264072200
9168172705128
1055479137408
112158a588092
12a903a26368
135301c5a776
1429842b6772
15169a8e2e08
hexcead07480

55479137408 has 72 divisors (see below), whose sum is σ = 112135215465. Its totient is φ = 27341176320.

The previous prime is 55479137401. The next prime is 55479137429. The reversal of 55479137408 is 80473197455.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 53235409984 + 2243727424 = 230728^2 + 47368^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=166552.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 55479137408.

It is not an unprimeable number, because it can be changed into a prime (55479137401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 290466593 + ... + 290466783.

Almost surely, 255479137408 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 55479137408

55479137408 is an abundant number, since it is smaller than the sum of its proper divisors (56656078057).

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

55479137408 is an frugal number, since it uses more digits than its factorization.

55479137408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 53.

The spelling of 55479137408 in words is "fifty-five billion, four hundred seventy-nine million, one hundred thirty-seven thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 64 109 128 191 218 382 436 764 872 1528 1744 3056 3488 6112 6976 11881 12224 13952 20819 23762 24448 36481 41638 47524 72962 83276 95048 145924 166552 190096 291848 333104 380192 583696 666208 760384 1167392 1332416 1520768 2269271 2334784 2664832 3976429 4538542 4669568 7952858 9077084 15905716 18154168 31811432 36308336 63622864 72616672 127245728 145233344 254491456 290466688 433430761 508982912 866861522 1733723044 3467446088 6934892176 13869784352 27739568704 55479137408