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2768148380 = 2251926992
BaseRepresentation
bin1010010011111110…
…1001011110011100
321010220202111201002
42210333221132130
521132121222010
61134403005432
7125411605304
oct24477513634
97126674632
102768148380
1111a0602938
12653069878
1335165752a
141c38d2604
151130471a5
hexa4fe979c

2768148380 has 36 divisors (see below), whose sum is σ = 6121332840. Its totient is φ = 1048593888.

The previous prime is 2768148353. The next prime is 2768148433. The reversal of 2768148380 is 838418672.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1024271 + ... + 1026969.

Almost surely, 22768148380 is an apocalyptic number.

2768148380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2768148380 is an abundant number, since it is smaller than the sum of its proper divisors (3353184460).

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

2768148380 is an equidigital number, since it uses as much as digits as its factorization.

2768148380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5426 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 47.

The square root of 2768148380 is about 52613.1958732788. The cubic root of 2768148380 is about 1404.0948785053.

The spelling of 2768148380 in words is "two billion, seven hundred sixty-eight million, one hundred forty-eight thousand, three hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 2699 5398 10796 13495 26990 51281 53980 102562 205124 256405 512810 1025620 7284601 14569202 29138404 36423005 72846010 138407419 145692020 276814838 553629676 692037095 1384074190 2768148380