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11472039936 = 21233722973
BaseRepresentation
bin10101010111100100…
…10111000000000000
31002121111200000022000
422223302113000000
5141443320234221
65134205344000
7554200505400
oct125362270000
932544600260
1011472039936
114957738445
122281b68000
13110a970116
147ab868800
15472232e26
hex2abc97000

11472039936 has 624 divisors, whose sum is σ = 41459565600. Its totient is φ = 3121348608.

The previous prime is 11472039923. The next prime is 11472039947. The reversal of 11472039936 is 63993027411.

It is a junction number, because it is equal to n+sod(n) for n = 11472039891 and 11472039900.

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 47 ways as a sum of consecutive naturals, for example, 157151196 + ... + 157151268.

Almost surely, 211472039936 is an apocalyptic number.

11472039936 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 11472039936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20729782800).

11472039936 is an abundant number, since it is smaller than the sum of its proper divisors (29987525664).

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

11472039936 is an equidigital number, since it uses as much as digits as its factorization.

11472039936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 11472039936 in words is "eleven billion, four hundred seventy-two million, thirty-nine thousand, nine hundred thirty-six".