Search a number
-
+
48365320752 = 2433715993823
BaseRepresentation
bin101101000010110011…
…000011101000110000
311121211122212212021000
4231002303003220300
51243023010231002
634115124402000
73331352305020
oct550263035060
9147748785230
1048365320752
1119569a65371
129459546300
13473a1b41b8
1424ab5ada80
1513d10e561c
hexb42cc3a30

48365320752 has 80 divisors (see below), whose sum is σ = 158658734080. Its totient is φ = 13818662208.

The previous prime is 48365320721. The next prime is 48365320789. The reversal of 48365320752 is 25702356384.

48365320752 is a `hidden beast` number, since 48 + 3 + 6 + 532 + 0 + 75 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 48365320698 and 48365320707.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7993888 + ... + 7999935.

It is an arithmetic number, because the mean of its divisors is an integer number (1983234176).

Almost surely, 248365320752 is an apocalyptic number.

48365320752 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

48365320752 is an abundant number, since it is smaller than the sum of its proper divisors (110293413328).

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

48365320752 is a wasteful number, since it uses less digits than its factorization.

48365320752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15993847 (or 15993835 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

It can be divided in two parts, 483653 and 20752, that added together give a palindrome (504405).

The spelling of 48365320752 in words is "forty-eight billion, three hundred sixty-five million, three hundred twenty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 15993823 31987646 47981469 63975292 95962938 111956761 127950584 143944407 191925876 223913522 255901168 287888814 335870283 383851752 431833221 447827044 575777628 671740566 767703504 863666442 895654088 1007610849 1151555256 1343481132 1727332884 1791308176 2015221698 2303110512 2686962264 3022832547 3454665768 4030443396 5373924528 6045665094 6909331536 8060886792 12091330188 16121773584 24182660376 48365320752