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11398413312 = 210341113312
BaseRepresentation
bin10101001110110010…
…11111110000000000
31002102101010101120000
422213121133300000
5141320443211222
65123015320000
7552314625456
oct124731376000
932371111500
1011398413312
11491a11a6a0
122261380000
1310c8631980
147a1b809d6
1546aa3c9ac
hex2a765fc00

11398413312 has 660 divisors, whose sum is σ = 41320136088. Its totient is φ = 3085516800.

The previous prime is 11398413311. The next prime is 11398413337. The reversal of 11398413312 is 21331489311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11398413311) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 367690737 + ... + 367690767.

Almost surely, 211398413312 is an apocalyptic number.

11398413312 is a gapful number since it is divisible by the number (12) 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 11398413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20660068044).

11398413312 is an abundant number, since it is smaller than the sum of its proper divisors (29921722776).

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

11398413312 is a wasteful number, since it uses less digits than its factorization.

11398413312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 60 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The spelling of 11398413312 in words is "eleven billion, three hundred ninety-eight million, four hundred thirteen thousand, three hundred twelve".