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4954199680 = 27535321929
BaseRepresentation
bin1001001110100101…
…10001011010000000
3110210021012102100001
410213102301122000
540121233342210
62135333405344
7233525000563
oct44722613200
913707172301
104954199680
112112575601
12b63199854
1360c513c01
1434dd7c4da
151dee0b03a
hex1274b1680

4954199680 has 64 divisors (see below), whose sum is σ = 11877726600. Its totient is φ = 1975975936.

The previous prime is 4954199651. The next prime is 4954199681. The reversal of 4954199680 is 869914594.

It can be written as a sum of positive squares in 4 ways, for example, as 4840819776 + 113379904 = 69576^2 + 10648^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (4954199681) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 214956 + ... + 236884.

Almost surely, 24954199680 is an apocalyptic number.

4954199680 is a gapful number since it is divisible by the number (40) 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 4954199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5938863300).

4954199680 is an abundant number, since it is smaller than the sum of its proper divisors (6923526920).

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

4954199680 is a wasteful number, since it uses less digits than its factorization.

4954199680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22301 (or 22289 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 55.

The square root of 4954199680 is about 70386.0758957338. The cubic root of 4954199680 is about 1704.7387599508.

The spelling of 4954199680 in words is "four billion, nine hundred fifty-four million, one hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 353 640 706 1412 1765 2824 3530 5648 7060 11296 14120 21929 22592 28240 43858 45184 56480 87716 109645 112960 175432 219290 225920 350864 438580 701728 877160 1403456 1754320 2806912 3508640 7017280 7740937 14034560 15481874 30963748 38704685 61927496 77409370 123854992 154818740 247709984 309637480 495419968 619274960 990839936 1238549920 2477099840 4954199680