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53504440536 = 233611012331553
BaseRepresentation
bin110001110101000111…
…001111100011011000
312010002211001012021210
4301311013033203120
51334034114044121
640325105503120
73602614145361
oct616507174330
9163084035253
1053504440536
11207669530a8
12a452641aa0
135078b02591
142837d26b68
1515d237c876
hexc751cf8d8

53504440536 has 128 divisors (see below), whose sum is σ = 137978043840. Its totient is φ = 17283072000.

The previous prime is 53504440523. The next prime is 53504440537. The reversal of 53504440536 is 63504440535.

It is a junction number, because it is equal to n+sod(n) for n = 53504440494 and 53504440503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53504440537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34451536 + ... + 34453088.

Almost surely, 253504440536 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 53504440536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68989021920).

53504440536 is an abundant number, since it is smaller than the sum of its proper divisors (84473603304).

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

53504440536 is a wasteful number, since it uses less digits than its factorization.

53504440536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 39.

Subtracting 53504440536 from its reverse (63504440535), we obtain a palindrome (9999999999).

The spelling of 53504440536 in words is "fifty-three billion, five hundred four million, four hundred forty thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 61 101 122 183 202 233 244 303 366 404 466 488 606 699 732 808 932 1212 1398 1464 1553 1864 2424 2796 3106 4659 5592 6161 6212 9318 12322 12424 14213 18483 18636 23533 24644 28426 36966 37272 42639 47066 49288 56852 70599 73932 85278 94132 94733 113704 141198 147864 156853 170556 188264 189466 282396 284199 313706 341112 361849 378932 470559 564792 568398 627412 723698 757864 941118 1085547 1136796 1254824 1435513 1447396 1882236 2171094 2273592 2871026 2894792 3764472 4306539 4342188 5742052 8613078 8684376 9568033 11484104 17226156 19136066 22072789 28704099 34452312 36546749 38272132 44145578 57408198 66218367 73093498 76544264 88291156 109640247 114816396 132436734 146186996 176582312 219280494 229632792 264873468 292373992 438560988 529746936 877121976 2229351689 4458703378 6688055067 8917406756 13376110134 17834813512 26752220268 53504440536