Search a number
-
+
11139919047936 = 283372329211903
BaseRepresentation
bin1010001000011011011011…
…1010101110110100000000
31110102222002010000202201000
42202012312322232310000
52430004023234013221
635405335210212000
72226555402362640
oct242066672566400
943388063022630
1011139919047936
11360545a981618
1212baba8424000
1362a64a2b1503
142a7264130520
15144b95239e26
hexa21b6eaed00

11139919047936 has 864 divisors, whose sum is σ = 40690515640320. Its totient is φ = 2939221942272.

The previous prime is 11139919047893. The next prime is 11139919048009. The reversal of 11139919047936 is 63974091993111.

11139919047936 is a `hidden beast` number, since 1 + 11 + 39 + 9 + 1 + 90 + 479 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 935885761 + ... + 935897663.

Almost surely, 211139919047936 is an apocalyptic number.

11139919047936 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 11139919047936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20345257820160).

11139919047936 is an abundant number, since it is smaller than the sum of its proper divisors (29550596592384).

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

11139919047936 is a wasteful number, since it uses less digits than its factorization.

11139919047936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12016 (or 11967 counting only the distinct ones).

The product of its (nonzero) digits is 9920232, while the sum is 63.

The spelling of 11139919047936 in words is "eleven trillion, one hundred thirty-nine billion, nine hundred nineteen million, forty-seven thousand, nine hundred thirty-six".