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11850012240 = 24351143472221
BaseRepresentation
bin10110000100101000…
…01101011001010000
31010120211212222211020
423002110031121100
5143232100342430
65235510515440
7566440304433
oct130224153120
933524788736
1011850012240
115031028650
122368665b80
13116b06b381
14805b3781a
154954e4b10
hex2c250d650

11850012240 has 320 divisors, whose sum is σ = 41897889792. Its totient is φ = 2744985600.

The previous prime is 11850012227. The next prime is 11850012253. The reversal of 11850012240 is 4221005811.

It is an interprime number because it is at equal distance from previous prime (11850012227) and next prime (11850012253).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11850012240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5334330 + ... + 5336550.

Almost surely, 211850012240 is an apocalyptic number.

11850012240 is a gapful number since it is divisible by the number (10) 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 11850012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20948944896).

11850012240 is an abundant number, since it is smaller than the sum of its proper divisors (30047877552).

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

11850012240 is a wasteful number, since it uses less digits than its factorization.

11850012240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The spelling of 11850012240 in words is "eleven billion, eight hundred fifty million, twelve thousand, two hundred forty".