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11938332640 = 255135739583
BaseRepresentation
bin10110001111001010…
…00111111111100000
31010211000002010122011
423013211013333200
5143422203121030
65252343522304
7601562103343
oct130745077740
933730063564
1011938332640
115076972013
122392159394
131183452970
1481376845a
1549d13db2a
hex2c7947fe0

11938332640 has 48 divisors (see below), whose sum is σ = 30373878528. Its totient is φ = 4407998976.

The previous prime is 11938332577. The next prime is 11938332661. The reversal of 11938332640 is 4623383911.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 11938332593 and 11938332602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2867712 + ... + 2871871.

It is an arithmetic number, because the mean of its divisors is an integer number (632789136).

Almost surely, 211938332640 is an apocalyptic number.

11938332640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11938332640 is an abundant number, since it is smaller than the sum of its proper divisors (18435545888).

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

11938332640 is a wasteful number, since it uses less digits than its factorization.

11938332640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5739611 (or 5739603 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 11938332640 in words is "eleven billion, nine hundred thirty-eight million, three hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 5739583 11479166 22958332 28697915 45916664 57395830 74614579 91833328 114791660 149229158 183666656 229583320 298458316 373072895 459166640 596916632 746145790 918333280 1193833264 1492291580 2387666528 2984583160 5969166320 11938332640