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11057751936 = 2731071119
BaseRepresentation
bin10100100110001011…
…11110011110000000
31001112122010000000000
422103011332132000
5140121241030221
65025130000000
7541010224560
oct122305763600
931478100000
1011057751936
1147648a3770
122187276000
131072b982aa
1476c824da0
1544ab9ae26
hex29317e780

11057751936 has 704 divisors, whose sum is σ = 43365340800. Its totient is φ = 2720977920.

The previous prime is 11057751923. The next prime is 11057751959. The reversal of 11057751936 is 63915775011.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×110577519362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11057751891 and 11057751900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 581986935 + ... + 581986953.

Almost surely, 211057751936 is an apocalyptic number.

11057751936 is a gapful number since it is divisible by the number (16) 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 11057751936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21682670400).

11057751936 is an abundant number, since it is smaller than the sum of its proper divisors (32307588864).

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

11057751936 is an frugal number, since it uses more digits than its factorization.

11057751936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 45.

The spelling of 11057751936 in words is "eleven billion, fifty-seven million, seven hundred fifty-one thousand, nine hundred thirty-six".