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535414332220 = 2252914926323557
BaseRepresentation
bin1111100101010010010…
…11100101101100111100
31220011222221112012010121
413302221023211230330
532233012032112340
61045544351144324
753453031506335
oct7625113455474
91804887465117
10535414332220
11197082483459
12879252150a4
133b649160741
141bcb278528c
15ddd9c5894a
hex7ca92e5b3c

535414332220 has 96 divisors (see below), whose sum is σ = 1175449968000. Its totient is φ = 204603270144.

The previous prime is 535414332157. The next prime is 535414332227. The reversal of 535414332220 is 22233414535.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535414332227) 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, 22716682 + ... + 22740238.

It is an arithmetic number, because the mean of its divisors is an integer number (12244270500).

Almost surely, 2535414332220 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 535414332220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587724984000).

535414332220 is an abundant number, since it is smaller than the sum of its proper divisors (640035635780).

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

535414332220 is a wasteful number, since it uses less digits than its factorization.

535414332220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24007 (or 24005 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 535414332220 its reverse (22233414535), we get a palindrome (557647746755).

The spelling of 535414332220 in words is "five hundred thirty-five billion, four hundred fourteen million, three hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 149 263 290 298 526 580 596 745 1052 1315 1490 2630 2980 4321 5260 7627 8642 15254 17284 21605 23557 30508 38135 39187 43210 47114 76270 78374 86420 94228 117785 152540 156748 195935 235570 391870 471140 683153 783740 1136423 1366306 2272846 2732612 3415765 3509993 4545692 5682115 6195491 6831530 7019986 11364230 12390982 13663060 14039972 17549965 22728460 24781964 30977455 35099930 61954910 70199860 101789797 123909820 179669239 203579594 359338478 407159188 508948985 718676956 898346195 923128159 1017897970 1796692390 1846256318 2035795940 3593384780 3692512636 4615640795 9231281590 18462563180 26770716611 53541433222 107082866444 133853583055 267707166110 535414332220