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11710849920 = 2735711113701
BaseRepresentation
bin10101110100000010…
…10110001110000000
31010020011000211000020
422322001112032000
5142440434144140
65214020053440
7563130403410
oct127201261600
933204024006
1011710849920
114a6a518970
122329b34280
1311482953c3
147d1470640
154881a66d0
hex2ba056380

11710849920 has 512 divisors, whose sum is σ = 47018050560. Its totient is φ = 2408448000.

The previous prime is 11710849907. The next prime is 11710849933. The reversal of 11710849920 is 2994801711.

It is an interprime number because it is at equal distance from previous prime (11710849907) and next prime (11710849933).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 16705570 + ... + 16706270.

It is an arithmetic number, because the mean of its divisors is an integer number (91832130).

Almost surely, 211710849920 is an apocalyptic number.

11710849920 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 11710849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23509025280).

11710849920 is an abundant number, since it is smaller than the sum of its proper divisors (35307200640).

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

11710849920 is a wasteful number, since it uses less digits than its factorization.

11710849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 42.

The spelling of 11710849920 in words is "eleven billion, seven hundred ten million, eight hundred forty-nine thousand, nine hundred twenty".