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11335920048 = 2432736311709
BaseRepresentation
bin10101000111010110…
…00110100110110000
31002021000112101220200
422203223012212300
5141203443420143
65112504035200
7550625505405
oct124353064660
932230471820
1011335920048
114897916572
122244462b00
1310b86c0bcb
147977542ac
154652e61d3
hex2a3ac69b0

11335920048 has 120 divisors (see below), whose sum is σ = 32229231840. Its totient is φ = 3718794240.

The previous prime is 11335920031. The next prime is 11335920053. The reversal of 11335920048 is 84002953311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11335919994 and 11335920021.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6632218 + ... + 6633926.

It is an arithmetic number, because the mean of its divisors is an integer number (268576932).

Almost surely, 211335920048 is an apocalyptic number.

11335920048 is a gapful number since it is divisible by the number (18) 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 11335920048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16114615920).

11335920048 is an abundant number, since it is smaller than the sum of its proper divisors (20893311792).

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

11335920048 is a wasteful number, since it uses less digits than its factorization.

11335920048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 11335920048 in words is "eleven billion, three hundred thirty-five million, nine hundred twenty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 631 657 876 1168 1262 1314 1709 1752 1893 2524 2628 3418 3504 3786 5048 5127 5256 5679 6836 7572 10096 10254 10512 11358 13672 15144 15381 20508 22716 27344 30288 30762 41016 45432 46063 61524 82032 90864 92126 123048 124757 138189 184252 246096 249514 276378 368504 374271 414567 499028 552756 737008 748542 829134 998056 1078379 1105512 1122813 1497084 1658268 1996112 2156758 2211024 2245626 2994168 3235137 3316536 4313516 4491252 5988336 6470274 6633072 8627032 8982504 9705411 12940548 17254064 17965008 19410822 25881096 38821644 51762192 77643288 78721667 155286576 157443334 236165001 314886668 472330002 629773336 708495003 944660004 1259546672 1416990006 1889320008 2833980012 3778640016 5667960024 11335920048