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535503012420 = 223589863116201
BaseRepresentation
bin1111100101011100111…
…01111000001001000100
31220012020010101121111110
413302232131320021010
532233202232344140
61050001240005020
753455156334235
oct7625635701104
91805203347443
10535503012420
11197118543182
128794aa60770
133b66163ca2c
141bcc046b08c
15dde2924380
hex7cae778244

535503012420 has 96 divisors (see below), whose sum is σ = 1518025743360. Its totient is φ = 141031475200.

The previous prime is 535503012397. The next prime is 535503012427. The reversal of 535503012420 is 24210305535.

535503012420 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (535503012427) 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, 4550320 + ... + 4666520.

It is an arithmetic number, because the mean of its divisors is an integer number (15812768160).

Almost surely, 2535503012420 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 535503012420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759012871680).

535503012420 is an abundant number, since it is smaller than the sum of its proper divisors (982522730940).

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

535503012420 is a wasteful number, since it uses less digits than its factorization.

535503012420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117165 (or 117163 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 535503012420 its reverse (24210305535), we get a palindrome (559713317955).

The spelling of 535503012420 in words is "five hundred thirty-five billion, five hundred three million, twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 445 534 863 890 1068 1335 1726 1780 2589 2670 3452 4315 5178 5340 8630 10356 12945 17260 25890 51780 76807 116201 153614 230421 232402 307228 348603 384035 460842 464804 581005 697206 768070 921684 1152105 1162010 1394412 1536140 1743015 2304210 2324020 3486030 4608420 6972060 10341889 20683778 31025667 41367556 51709445 62051334 100281463 103418890 124102668 155128335 200562926 206837780 300844389 310256670 401125852 501407315 601688778 620513340 1002814630 1203377556 1504221945 2005629260 3008443890 6016887780 8925050207 17850100414 26775150621 35700200828 44625251035 53550301242 89250502070 107100602484 133875753105 178501004140 267751506210 535503012420