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11795230848 = 273211145577
BaseRepresentation
bin10101111110000110…
…01111000010000000
31010110000210210212210
422333003033002000
5143124034341343
65230232422120
7565203544062
oct127703170200
933400723783
1011795230848
115003111575
122352247940
13115c8ca84b
147dc757732
154907c3333
hex2bf0cf080

11795230848 has 64 divisors (see below), whose sum is σ = 31479786720. Its totient is φ = 3913082880.

The previous prime is 11795230847. The next prime is 11795230907. The reversal of 11795230848 is 84803259711.

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

It is a super-2 number, since 2×117952308482 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 11795230797 and 11795230806.

It is not an unprimeable number, because it can be changed into a prime (11795230847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8236 + ... + 153812.

Almost surely, 211795230848 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 11795230848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15739893360).

11795230848 is an abundant number, since it is smaller than the sum of its proper divisors (19684555872).

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

11795230848 is a wasteful number, since it uses less digits than its factorization.

11795230848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145805 (or 145793 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 11795230848 in words is "eleven billion, seven hundred ninety-five million, two hundred thirty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 211 384 422 633 844 1266 1688 2532 3376 5064 6752 10128 13504 20256 27008 40512 81024 145577 291154 436731 582308 873462 1164616 1746924 2329232 3493848 4658464 6987696 9316928 13975392 18633856 27950784 30716747 55901568 61433494 92150241 122866988 184300482 245733976 368600964 491467952 737201928 982935904 1474403856 1965871808 2948807712 3931743616 5897615424 11795230848