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1213404532736 = 2121146915741
BaseRepresentation
bin10001101010000100100…
…010111101000000000000
311022000000020200221000212
4101222010202331000000
5124340023030021421
62325232542133252
7153444203231264
oct21520442750000
94260006627025
101213404532736
11428669252a20
121771ba881228
138a567727196
1442a2c8b80a4
152186b8e8e5b
hex11a848bd000

1213404532736 has 104 divisors (see below), whose sum is σ = 2648130379488. Its totient is φ = 551333888000.

The previous prime is 1213404532733. The next prime is 1213404532799. The reversal of 1213404532736 is 6372354043121.

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

It is a junction number, because it is equal to n+sod(n) for n = 1213404532693 and 1213404532702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213404532733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211354826 + ... + 211360566.

Almost surely, 21213404532736 is an apocalyptic number.

1213404532736 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 1213404532736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324065189744).

1213404532736 is an abundant number, since it is smaller than the sum of its proper divisors (1434725846752).

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

1213404532736 is an equidigital number, since it uses as much as digits as its factorization.

1213404532736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10467 (or 10445 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 41.

Adding to 1213404532736 its reverse (6372354043121), we get a palindrome (7585758575857).

The spelling of 1213404532736 in words is "one trillion, two hundred thirteen billion, four hundred four million, five hundred thirty-two thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 4096 4691 5632 5741 9382 11264 11482 18764 22528 22964 37528 45056 45928 51601 63151 75056 91856 103202 126302 150112 183712 206404 252604 300224 367424 412808 505208 600448 734848 825616 1010416 1200896 1469696 1651232 2020832 2401792 2939392 3302464 4041664 4803584 5878784 6604928 8083328 9607168 11757568 13209856 16166656 19214336 23515136 26419712 26931031 32333312 52839424 53862062 64666624 105678848 107724124 129333248 211357696 215448248 258666496 296241341 430896496 592482682 861792992 1184965364 1723585984 2369930728 3447171968 4739861456 6894343936 9479722912 13788687872 18959445824 27577375744 37918891648 55154751488 75837783296 110309502976 151675566592 303351133184 606702266368 1213404532736