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11332054400 = 27527149877
BaseRepresentation
bin10101000110111000…
…10110110110000000
31002020202021000020112
422203130112312000
5141202001220100
65112245130452
7550550605322
oct124334266600
932222230215
1011332054400
114895716217
1222430b9a28
1310b7969544
14797029612
15464cd0b35
hex2a3716d80

11332054400 has 96 divisors (see below), whose sum is σ = 28388562480. Its totient is φ = 4468889600.

The previous prime is 11332054397. The next prime is 11332054477. The reversal of 11332054400 is 445023311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202262 + ... + 252138.

Almost surely, 211332054400 is an apocalyptic number.

11332054400 is a gapful number since it is divisible by the number (10) 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 11332054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14194281240).

11332054400 is an abundant number, since it is smaller than the sum of its proper divisors (17056508080).

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

11332054400 is an equidigital number, since it uses as much as digits as its factorization.

11332054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49972 (or 49955 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 11332054400 its reverse (445023311), we get a palindrome (11777077711).

The spelling of 11332054400 in words is "eleven billion, three hundred thirty-two million, fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 71 80 100 128 142 160 200 284 320 355 400 568 640 710 800 1136 1420 1600 1775 2272 2840 3200 3550 4544 5680 7100 9088 11360 14200 22720 28400 45440 49877 56800 99754 113600 199508 227200 249385 399016 498770 798032 997540 1246925 1596064 1995080 2493850 3192128 3541267 3990160 4987700 6384256 7082534 7980320 9975400 14165068 15960640 17706335 19950800 28330136 31921280 35412670 39901600 56660272 70825340 79803200 88531675 113320544 141650680 159606400 177063350 226641088 283301360 354126700 453282176 566602720 708253400 1133205440 1416506800 2266410880 2833013600 5666027200 11332054400