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11383297632 = 2533719235973
BaseRepresentation
bin10101001100111111…
…10101011001100000
31002101022200102202000
422212133311121200
5141303111011012
65121315324000
7552042301440
oct124637653140
932338612660
1011383297632
114911635aa3
1222582b0600
1310c546b795
1479db68120
15469553ddc
hex2a67f5660

11383297632 has 768 divisors, whose sum is σ = 42964992000. Its totient is φ = 2857586688.

The previous prime is 11383297603. The next prime is 11383297637. The reversal of 11383297632 is 23679238311.

11383297632 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 3 + 2 + 9 + 7 + 632 = 666.

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 (11383297637) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 155935548 + ... + 155935620.

It is an arithmetic number, because the mean of its divisors is an integer number (55944000).

Almost surely, 211383297632 is an apocalyptic number.

11383297632 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 11383297632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21482496000).

11383297632 is an abundant number, since it is smaller than the sum of its proper divisors (31581694368).

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

11383297632 is a wasteful number, since it uses less digits than its factorization.

11383297632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 186 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The spelling of 11383297632 in words is "eleven billion, three hundred eighty-three million, two hundred ninety-seven thousand, six hundred thirty-two".