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11383717632 = 283721132677
BaseRepresentation
bin10101001101000010…
…11011111100000000
31002101100110202212120
422212201123330000
5141303212431012
65121332324240
7552046001100
oct124641337400
932340422776
1011383717632
1149118a2601
122258473680
1310c55879c1
1479dc37200
154695d858c
hex2a685bf00

11383717632 has 216 divisors, whose sum is σ = 35568960336. Its totient is φ = 3222503424.

The previous prime is 11383717619. The next prime is 11383717661. The reversal of 11383717632 is 23671738311.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4251078 + ... + 4253754.

Almost surely, 211383717632 is an apocalyptic number.

11383717632 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 11383717632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17784480168).

11383717632 is an abundant number, since it is smaller than the sum of its proper divisors (24185242704).

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

11383717632 is a wasteful number, since it uses less digits than its factorization.

11383717632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2802 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The spelling of 11383717632 in words is "eleven billion, three hundred eighty-three million, seven hundred seventeen thousand, six hundred thirty-two".