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84400003536 = 2437328618419
BaseRepresentation
bin100111010011010100…
…0011101100111010000
322001211222111102010220
41032212220131213100
52340322400103121
6102434532553040
76045340123152
oct1164650354720
9261758442126
1084400003536
1132880668942
1214435482780
137c608995c4
144129294ad2
1522de9086c6
hex13a6a1d9d0

84400003536 has 80 divisors (see below), whose sum is σ = 221123615040. Its totient is φ = 27734952960.

The previous prime is 84400003517. The next prime is 84400003603. The reversal of 84400003536 is 63530000448.

It is a junction number, because it is equal to n+sod(n) for n = 84400003497 and 84400003506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10020735 + ... + 10029153.

It is an arithmetic number, because the mean of its divisors is an integer number (2764045188).

Almost surely, 284400003536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84400003536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110561807520).

84400003536 is an abundant number, since it is smaller than the sum of its proper divisors (136723611504).

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

84400003536 is a wasteful number, since it uses less digits than its factorization.

84400003536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11364 (or 11358 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 84400003536 in words is "eighty-four billion, four hundred million, three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1168 1752 2861 3504 5722 8419 8583 11444 16838 17166 22888 25257 33676 34332 45776 50514 67352 68664 101028 134704 137328 202056 208853 404112 417706 614587 626559 835412 1229174 1253118 1670824 1843761 2458348 2506236 3341648 3687522 4916696 5012472 7375044 9833392 10024944 14750088 24086759 29500176 48173518 72260277 96347036 144520554 192694072 289041108 385388144 578082216 1156164432 1758333407 3516666814 5275000221 7033333628 10550000442 14066667256 21100000884 28133334512 42200001768 84400003536