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52023354314432 = 2641193627116381
BaseRepresentation
bin10111101010000101000011…
…00011011100111011000000
320211012101101000021012201112
423311002201203130323000
523304322312201030212
6302351110554222452
713646364134342354
oct1365024143347300
9224171330235645
1052023354314432
1115637a8729aa86
125a02584124a28
132304a205803c7
14cbbd2da57464
156033a80d9422
hex2f50a18dcec0

52023354314432 has 112 divisors (see below), whose sum is σ = 106323120067584. Its totient is φ = 25240190976000.

The previous prime is 52023354314429. The next prime is 52023354314443. The reversal of 52023354314432 is 23441345332025.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a self number, because there is not a number n which added to its sum of digits gives 52023354314432.

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, 3175826882 + ... + 3175843262.

It is an arithmetic number, because the mean of its divisors is an integer number (949313572032).

Almost surely, 252023354314432 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 52023354314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53161560033792).

52023354314432 is an abundant number, since it is smaller than the sum of its proper divisors (54299765753152).

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

52023354314432 is a wasteful number, since it uses less digits than its factorization.

52023354314432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22898 (or 22888 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 41.

Adding to 52023354314432 its reverse (23441345332025), we get a palindrome (75464699646457).

The spelling of 52023354314432 in words is "fifty-two trillion, twenty-three billion, three hundred fifty-four million, three hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 41 64 82 164 193 328 386 656 772 1312 1544 2624 3088 6176 6271 7913 12352 12542 15826 16381 25084 31652 32762 50168 63304 65524 100336 126608 131048 200672 253216 257111 262096 401344 506432 514222 524192 671621 1028444 1048384 1210303 1343242 2056888 2420606 2686484 3161533 4113776 4841212 5372968 6323066 8227552 9682424 10745936 12646132 16455104 19364848 21491872 25292264 38729696 42983744 49622423 50584528 77459392 99244846 101169056 102725251 129622853 198489692 202338112 205450502 259245706 396979384 410901004 518491412 793958768 821802008 1036982824 1587917536 1643604016 2073965648 3175835072 3287208032 4147931296 4211735291 6574416064 8295862592 8423470582 16846941164 19825973443 33693882328 39651946886 67387764656 79303893772 134775529312 158607787544 269551058624 317215575088 634431150176 812864911163 1268862300352 1625729822326 3251459644652 6502919289304 13005838578608 26011677157216 52023354314432