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4955332896 = 25331793
BaseRepresentation
bin1001001110101110…
…00110000100100000
3110210100022222211000
410213113012010200
540122031123041
62135413552000
7233540430453
oct44727060440
913710288730
104955332896
112113179a48
12b63645600
1360c81c957
1435019549a
151e0081bb6
hex1275c6120

4955332896 has 96 divisors (see below), whose sum is σ = 14534251200. Its totient is φ = 1642549824.

The previous prime is 4955332883. The next prime is 4955332909. The reversal of 4955332896 is 6982335594.

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.

4955332896 is a `hidden beast` number, since 4 + 9 + 553 + 3 + 2 + 89 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (4955332883) and next prime (4955332909).

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

It is a super-2 number, since 2×49553328962 = 49110648220359493632, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27683335 + ... + 27683513.

It is an arithmetic number, because the mean of its divisors is an integer number (151398450).

Almost surely, 24955332896 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 4955332896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7267125600).

4955332896 is an abundant number, since it is smaller than the sum of its proper divisors (9578918304).

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

4955332896 is an frugal number, since it uses more digits than its factorization.

4955332896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 184 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The square root of 4955332896 is about 70394.1254367152. The cubic root of 4955332896 is about 1704.8687298138.

Multiplying 4955332896 by its sum of digits (54), we get a cube (267587976384 = 64443).

The spelling of 4955332896 in words is "four billion, nine hundred fifty-five million, three hundred thirty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 179 216 288 358 432 537 716 864 1074 1432 1611 2148 2864 3222 4296 4833 5728 6444 8592 9666 12888 17184 19332 25776 32041 38664 51552 64082 77328 96123 128164 154656 192246 256328 288369 384492 512656 576738 768984 865107 1025312 1153476 1537968 1730214 2306952 3075936 3460428 4613904 5735339 6920856 9227808 11470678 13841712 17206017 22941356 27683424 34412034 45882712 51618051 68824068 91765424 103236102 137648136 154854153 183530848 206472204 275296272 309708306 412944408 550592544 619416612 825888816 1238833224 1651777632 2477666448 4955332896