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5055760000 = 275463197
BaseRepresentation
bin1001011010101100…
…01100011010000000
3111001100022012220101
410231112030122000
540323233310000
62153402252144
7236200152034
oct45526143200
914040265811
105055760000
112164932355
12b911b7054
13627582985
1435d6581c4
151e8cbce6a
hex12d58c680

5055760000 has 80 divisors (see below), whose sum is σ = 12586197690. Its totient is φ = 2022272000.

The previous prime is 5055759997. The next prime is 5055760013. The reversal of 5055760000 is 675505.

It can be written as a sum of positive squares in 5 ways, for example, as 940280896 + 4115479104 = 30664^2 + 64152^2 .

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

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 9 ways as a sum of consecutive naturals, for example, 48402 + ... + 111598.

Almost surely, 25055760000 is an apocalyptic number.

5055760000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5055760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6293098845).

5055760000 is an abundant number, since it is smaller than the sum of its proper divisors (7530437690).

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

5055760000 is an frugal number, since it uses more digits than its factorization.

5055760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63231 (or 63204 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 28.

The square root of 5055760000 is about 71103.8676866456. The cubic root of 5055760000 is about 1716.3090131629.

The spelling of 5055760000 in words is "five billion, fifty-five million, seven hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 16000 20000 40000 63197 80000 126394 252788 315985 505576 631970 1011152 1263940 1579925 2022304 2527880 3159850 4044608 5055760 6319700 7899625 8089216 10111520 12639400 15799250 20223040 25278800 31598500 39498125 40446080 50557600 63197000 78996250 101115200 126394000 157992500 202230400 252788000 315985000 505576000 631970000 1011152000 1263940000 2527880000 5055760000