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535433066641352 = 2311232695211887577
BaseRepresentation
bin111100110111110010011100…
…1101111001111011111001000
32121012210220100000200022210002
41321233210321233033133020
51030140013410030010402
65134434315522342132
7220531522351126415
oct17157447157173710
92535726300608702
10535433066641352
11145672985453850
12500766227ba948
1319c9c1770159a9
149631154b8d10c
1541d7c99775602
hex1e6f939bcf7c8

535433066641352 has 128 divisors (see below), whose sum is σ = 1149272251142400. Its totient is φ = 231486280396800.

The previous prime is 535433066641349. The next prime is 535433066641357. The reversal of 535433066641352 is 253146660334535.

It is not an unprimeable number, because it can be changed into a prime (535433066641357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282717788 + ... + 284605364.

It is an arithmetic number, because the mean of its divisors is an integer number (8978689462050).

Almost surely, 2535433066641352 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 535433066641352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574636125571200).

535433066641352 is an abundant number, since it is smaller than the sum of its proper divisors (613839184501048).

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

535433066641352 is a wasteful number, since it uses less digits than its factorization.

535433066641352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888407 (or 1888403 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 56.

The spelling of 535433066641352 in words is "five hundred thirty-five trillion, four hundred thirty-three billion, sixty-six million, six hundred forty-one thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 269 506 521 538 1012 1042 1076 2024 2084 2152 2959 4168 5731 5918 6187 11462 11836 11983 12374 22924 23672 23966 24748 45848 47932 49496 68057 95864 131813 136114 140149 263626 272228 280298 527252 544456 560596 1054504 1121192 1541639 1887577 3083278 3223427 3775154 6166556 6446854 7550308 12333112 12893708 15100616 20763347 25787416 35457697 41526694 43414271 70915394 83053388 86828542 141830788 166106776 173657084 283661576 347314168 477556981 507758213 955113962 983427617 1015516426 1910227924 1966855234 2031032852 3820455848 3933710468 4062065704 5585340343 7867420936 10817703787 11170680686 11678438899 21635407574 22341361372 22618835191 23356877798 43270815148 44682722744 45237670382 46713755596 86541630296 90475340764 93427511192 128462827889 180950681528 248807187101 256925655778 264542028973 497614374202 513851311556 529084057946 995228748404 1027702623112 1058168115892 1990457496808 2116336231784 2909962318703 5819924637406 6084466666379 11639849274812 12168933332758 23279698549624 24337866665516 48675733331032 66929133330169 133858266660338 267716533320676 535433066641352