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1052350533984 = 253115113277177
BaseRepresentation
bin11110101000001001111…
…10101101000101100000
310201121022010012002120010
433110010332231011200
5114220203214041414
62123235420044520
7136013140643361
oct17240476550540
93647263162503
101052350533984
11376332494a12
1214bb52093740
137830bcc4b79
1438d10ddbb68
151c592660959
hexf504fad160

1052350533984 has 96 divisors (see below), whose sum is σ = 2767289204736. Its totient is φ = 350165836800.

The previous prime is 1052350533961. The next prime is 1052350534031. The reversal of 1052350533984 is 4893350532501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10523505339842 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 146624604 + ... + 146631780.

It is an arithmetic number, because the mean of its divisors is an integer number (28825929216).

Almost surely, 21052350533984 is an apocalyptic number.

It is an amenable number.

1052350533984 is an abundant number, since it is smaller than the sum of its proper divisors (1714938670752).

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

1052350533984 is a wasteful number, since it uses less digits than its factorization.

1052350533984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9668 (or 9660 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 48.

The spelling of 1052350533984 in words is "one trillion, fifty-two billion, three hundred fifty million, five hundred thirty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1151 1327 2302 2654 3453 3981 4604 5308 6906 7177 7962 9208 10616 13812 14354 15924 18416 21232 21531 27624 28708 31848 36832 42464 43062 55248 57416 63696 86124 110496 114832 127392 172248 229664 344496 688992 1527377 3054754 4582131 6109508 8260727 9164262 9523879 12219016 16521454 18328524 19047758 24438032 24782181 28571637 33042908 36657048 38095516 48876064 49564362 57143274 66085816 73314096 76191032 99128724 114286548 132171632 146628192 152382064 198257448 228573096 264343264 304764128 396514896 457146192 793029792 914292384 10961984729 21923969458 32885954187 43847938916 65771908374 87695877832 131543816748 175391755664 263087633496 350783511328 526175266992 1052350533984