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48349378368 = 2632157534649
BaseRepresentation
bin101101000001110110…
…001111011101000000
311121210112212220102100
4231001312033131000
51243004420101433
634113354550400
73331066635534
oct550166173500
9147715786370
1048349378368
1119560a66645
129454138400
134736ac1935
1424a941dbc4
1513ce9e6b13
hexb41d8f740

48349378368 has 84 divisors (see below), whose sum is σ = 139467729700. Its totient is φ = 16013776896.

The previous prime is 48349378367. The next prime is 48349378369. The reversal of 48349378368 is 86387394384.

48349378368 is a `hidden beast` number, since 4 + 8 + 3 + 493 + 7 + 83 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (48349378367) and next prime (48349378369).

It can be written as a sum of positive squares in 2 ways, for example, as 5121978624 + 43227399744 = 71568^2 + 207912^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48349378367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176893 + ... + 357756.

Almost surely, 248349378368 is an apocalyptic number.

48349378368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48349378368 is an abundant number, since it is smaller than the sum of its proper divisors (91118351332).

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

48349378368 is a wasteful number, since it uses less digits than its factorization.

48349378368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534824 (or 534811 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 48349378368 in words is "forty-eight billion, three hundred forty-nine million, three hundred seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 157 192 288 314 471 576 628 942 1256 1413 1884 2512 2826 3768 5024 5652 7536 10048 11304 15072 22608 30144 45216 90432 534649 1069298 1603947 2138596 3207894 4277192 4811841 6415788 8554384 9623682 12831576 17108768 19247364 25663152 34217536 38494728 51326304 76989456 83939893 102652608 153978912 167879786 251819679 307957824 335759572 503639358 671519144 755459037 1007278716 1343038288 1510918074 2014557432 2686076576 3021836148 4029114864 5372153152 6043672296 8058229728 12087344592 16116459456 24174689184 48349378368