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1129663427232 = 253231275038009
BaseRepresentation
bin10000011100000101001…
…011111111001010100000
310222222212012001000001210
4100130011023333022200
5122002022314132412
62222543223430120
7144421053461454
oct20340513771240
93888765030053
101129663427232
113a60a6610a0a
12162b29bb5340
13826b0508992
143c966d3c664
151e5b9c9483c
hex107052ff2a0

1129663427232 has 192 divisors, whose sum is σ = 3125250293760. Its totient is φ = 356591499264.

The previous prime is 1129663427231. The next prime is 1129663427273. The reversal of 1129663427232 is 2327243669211.

It is a super-2 number, since 2×11296634272322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1129663427231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141045244 + ... + 141053252.

It is an arithmetic number, because the mean of its divisors is an integer number (16277345280).

Almost surely, 21129663427232 is an apocalyptic number.

1129663427232 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 1129663427232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562625146880).

1129663427232 is an abundant number, since it is smaller than the sum of its proper divisors (1995586866528).

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

1129663427232 is a wasteful number, since it uses less digits than its factorization.

1129663427232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8675 (or 8667 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The spelling of 1129663427232 in words is "one trillion, one hundred twenty-nine billion, six hundred sixty-three million, four hundred twenty-seven thousand, two hundred thirty-two".