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1134664736 = 25432127151
BaseRepresentation
bin100001110100001…
…1001110000100000
32221002001221101212
41003220121300200
54310433232421
6304331445252
740055330312
oct10350316040
92832057355
101134664736
11532541457
12277bb6828
131510c9c6a
14aa9a37b2
1569931e5b
hex43a19c20

1134664736 has 72 divisors (see below), whose sum is σ = 2320303104. Its totient is φ = 546134400.

The previous prime is 1134664733. The next prime is 1134664787. The reversal of 1134664736 is 6374664311.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1134664693 and 1134664702.

It is not an unprimeable number, because it can be changed into a prime (1134664733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7514261 + ... + 7514411.

It is an arithmetic number, because the mean of its divisors is an integer number (32226432).

Almost surely, 21134664736 is an apocalyptic number.

1134664736 is a gapful number since it is divisible by the number (16) 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 1134664736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160151552).

1134664736 is an abundant number, since it is smaller than the sum of its proper divisors (1185638368).

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

1134664736 is a wasteful number, since it uses less digits than its factorization.

1134664736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 323 counting only the distinct ones).

The product of its digits is 217728, while the sum is 41.

The square root of 1134664736 is about 33684.7849332603. The cubic root of 1134664736 is about 1043.0117138104.

The spelling of 1134664736 in words is "one billion, one hundred thirty-four million, six hundred sixty-four thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 43 86 127 151 172 254 302 344 508 604 688 1016 1208 1376 1849 2032 2416 3698 4064 4832 5461 6493 7396 10922 12986 14792 19177 21844 25972 29584 38354 43688 51944 59168 76708 87376 103888 153416 174752 207776 234823 279199 306832 469646 558398 613664 824611 939292 1116796 1649222 1878584 2233592 3298444 3757168 4467184 6596888 7514336 8934368 13193776 26387552 35458273 70916546 141833092 283666184 567332368 1134664736