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535201012665216 = 2732464584212383
BaseRepresentation
bin111100110110000110011001…
…0001111100100101110000000
32121011222201100210011221100100
41321230030302033210232000
51030122213133220241331
65134135541224322400
7220505666006644062
oct17154146217445600
92534881323157310
10535201012665216
11145593524a95987
1250039660313400
1319c83314c39241
149623c1d957732
1541d1c17201ae6
hex1e6c3323e4b80

535201012665216 has 48 divisors (see below), whose sum is σ = 1540096664052960. Its totient is φ = 178400337554688.

The previous prime is 535201012665211. The next prime is 535201012665401. The reversal of 535201012665216 is 612566210102535.

535201012665216 is a `hidden beast` number, since 5 + 3 + 52 + 0 + 1 + 0 + 12 + 66 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535201012665211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 232292105040 + ... + 232292107343.

It is an arithmetic number, because the mean of its divisors is an integer number (32085347167770).

Almost surely, 2535201012665216 is an apocalyptic number.

It is an amenable number.

535201012665216 is an abundant number, since it is smaller than the sum of its proper divisors (1004895651387744).

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

535201012665216 is a wasteful number, since it uses less digits than its factorization.

535201012665216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464584212403 (or 464584212388 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 535201012665216 in words is "five hundred thirty-five trillion, two hundred one billion, twelve million, six hundred sixty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 464584212383 929168424766 1393752637149 1858336849532 2787505274298 3716673699064 4181257911447 5575010548596 7433347398128 8362515822894 11150021097192 14866694796256 16725031645788 22300042194384 29733389592512 33450063291576 44600084388768 59466779185024 66900126583152 89200168777536 133800253166304 178400337555072 267600506332608 535201012665216